SAT Math Flashcards: Polynomial Equations

Study Polynomial Equations in SAT Math with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

SAT Math

Polynomial Equations

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QUESTION

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Which term is the quadratic term in $2x^3 - 5x^2 + 3x$ ?

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ANSWER

The quadratic term is $-5x^2$ . The term with $x$ raised to the second power.

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What this deck covers

This deck focuses on Polynomial Equations, giving you a quick way to review the definitions, rules, and examples that matter most for SAT Math.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

All flashcards

Flashcard 1: Which term is the quadratic term in $2x^3 - 5x^2 + 3x$ ?

Answer: The quadratic term is $-5x^2$ . The term with $x$ raised to the second power.

Flashcard 2: What is the zero of the polynomial $x - 5$ ?

Answer: The zero is 5. Set the polynomial equal to zero and solve.

Flashcard 3: Express the polynomial $x^2 - 6x + 9$ in factored form.

Answer: $(x - 3)^2$ . This is a perfect square trinomial: $a^2 - 2ab + b^2 = (a-b)^2$ .

Flashcard 4: Find the value of the discriminant for $x^2 + 4x + 4$ .

Answer:

Using $b^2 - 4ac = 16 - 16 = 0$ , indicating one repeated root.

Flashcard 5: What is the coefficient of $x^2$ in $2x^4 - 3x^2 + x - 5$ ?

Answer: The coefficient is -3. The numerical factor multiplying $x^2$ .

Flashcard 6: Find the value of the discriminant for $x^2 + 4x + 4$ .

Answer:

Using $b^2 - 4ac = 16 - 16 = 0$ , indicating one repeated root.

Flashcard 7: What is the standard form of a quadratic equation?

Answer: $ax^2 + bx + c = 0$ . The general form of any quadratic equation.

Flashcard 8: Express the polynomial $x^2 - 6x + 9$ in factored form.

Answer: $(x - 3)^2$ . This is a perfect square trinomial: $a^2 - 2ab + b^2 = (a-b)^2$ .

Flashcard 9: Determine if $x = 2$ is a root of $x^2 - 4x + 4 = 0$ .

Answer: Yes. Substituting: $(2)^2 - 4(2) + 4 = 4 - 8 + 4 = 0$ .

Flashcard 10: What is the sum of the roots of $ax^2 + bx + c = 0$ ?

Answer: $-\frac{b}{a}$ . By Vieta's formulas, sum of roots equals $-\frac{b}{a}$ .

Flashcard 11: State the number of zeros for the polynomial $x^3 - 6x^2 + 11x - 6$ .

Answer: There are 3 zeros. A cubic polynomial can have at most 3 real zeros.

Flashcard 12: What is the standard form of a polynomial equation?

Answer: $a_n x^n + a_{n-1} x^{n-1} + \text{...} + a_1 x + a_0 = 0$ . Standard polynomial equation with terms arranged by decreasing powers.

Flashcard 13: Which polynomial has a degree of 3?

Answer: Example: $x^3 + 2x^2 + x + 1$ . Any polynomial where the highest power is 3.

Flashcard 14: What is the result of $x^2 - 9$ divided by $x + 3$ ?

Answer: $x - 3$ . Factor and cancel: $\frac{(x-3)(x+3)}{(x+3)} = x-3$ .

Flashcard 15: Identify the leading coefficient in $5x^3 - 4x^2 + 2x - 1$ .

Answer: The leading coefficient is 5. The coefficient of the highest degree term.

Flashcard 16: What is the standard form of a polynomial equation?

Answer: $a_n x^n + a_{n-1} x^{n-1} + \text{...} + a_1 x + a_0 = 0$ . Standard polynomial equation with terms arranged by decreasing powers.

Flashcard 17: Identify the degree of the polynomial $3x^4 - 5x^3 + x - 2$ .

Answer:

The highest power of $x$ determines the polynomial's degree.

Flashcard 18: What is the formula for the sum of the roots of $ax^2 + bx + c = 0$ ?

Answer: The sum is $-\frac{b}{a}$ . Vieta's formula relating coefficients to root sum.

Flashcard 19: Which term is the leading coefficient in $7x^3 - 4x^2 + x - 9$ ?

Answer:

The coefficient of the highest degree term is the leading coefficient.

Flashcard 20: Determine the product of the roots for $x^2 - 4x + 4$ .

Answer: The product of the roots is 4. By Vieta's formulas: $\frac{c}{a} = \frac{4}{1} = 4$ .

Flashcard 21: Which polynomial has a degree of 3?

Answer: Example: $x^3 + 2x^2 + x + 1$ . Any polynomial where the highest power is 3.

Flashcard 22: What is the formula for the difference of squares?

Answer: $a^2 - b^2 = (a-b)(a+b)$ . A fundamental factoring pattern for squared terms.

Flashcard 23: What is the standard form of a quadratic equation?

Answer: $ax^2 + bx + c = 0$ . The general form of any quadratic equation.

Flashcard 24: Give the product of the roots for $ax^2 + bx + c = 0$ .

Answer: The product is $\frac{c}{a}$ . Vieta's formula relating coefficients to root product.

Flashcard 25: Find the greatest common factor of $3x^3 - 9x^2$ .

Answer: The GCF is $3x^2$ . Factor out the common term $3x^2$ .

Flashcard 26: State the multiplicity of the zero for $x(x-2)^2$ at $x=2$ .

Answer: The multiplicity is 2. The exponent of $(x-2)$ indicates its multiplicity.

Flashcard 27: What is the formula for the sum of the roots of $ax^2 + bx + c = 0$ ?

Answer: The sum is $-\frac{b}{a}$ . Vieta's formula relating coefficients to root sum.

Flashcard 28: What is the expanded form of $(x+2)(x-3)$ ?

Answer: $x^2 - x - 6$ . Use FOIL to multiply the binomials.

Flashcard 29: Determine the y-intercept of $2x^3 + 3x^2 - 5x + 7$ .

Answer: The y-intercept is 7. The constant term gives the y-intercept.

Flashcard 30: Which term is the linear term in $4x^3 + 2x - 7$ ?

Answer: The linear term is $2x$ . The term with $x$ raised to the first power.

Flashcard 31: What is the coefficient of $x^2$ in $2x^4 - 3x^2 + x - 5$ ?

Answer: The coefficient is -3. The numerical factor multiplying $x^2$ .

Flashcard 32: Determine if $x = 2$ is a root of $x^2 - 4x + 4 = 0$ .

Answer: Yes. Substituting: $(2)^2 - 4(2) + 4 = 4 - 8 + 4 = 0$ .

Flashcard 33: State the quadratic formula used to solve $ax^2 + bx + c = 0$ .

Answer: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ . Derived by completing the square on the standard form.

Flashcard 34: What is the formula for the difference of squares?

Answer: $a^2 - b^2 = (a-b)(a+b)$ . A fundamental factoring pattern for squared terms.

Flashcard 35: What is the sum of the roots of the polynomial $x^2 - 6x + 9$ ?

Answer: The sum of the roots is 6. By Vieta's formulas: $-\frac{b}{a} = -\frac{(-6)}{1} = 6$ .

Flashcard 36: Give the product of the roots for $ax^2 + bx + c = 0$ .

Answer: The product is $\frac{c}{a}$ . Vieta's formula relating coefficients to root product.

Flashcard 37: What is the expanded form of $(x+2)(x-3)$ ?

Answer: $x^2 - x - 6$ . Use FOIL to multiply the binomials.

Flashcard 38: What is the constant term in the polynomial $4x^3 + 3x^2 + 2x + 1$ ?

Answer: The constant term is 1. The term with no variable, also called the constant coefficient.

Flashcard 39: Identify the degree of the polynomial $3x^4 - 5x^3 + x - 2$ .

Answer:

The highest power of $x$ determines the polynomial's degree.

Flashcard 40: State the degree of the polynomial $3x^4 + 2x^3 - x + 5$ .

Answer: The degree is 4. The highest power of x determines the degree.

Flashcard 41: Identify the multiplicity of $x=0$ in $x^2(x-1)$ .

Answer: The multiplicity is 2. The exponent of $x$ indicates the multiplicity of zero.

Flashcard 42: Calculate the product of the roots for $2x^2 - 3x + 5 = 0$ .

Answer: $\frac{5}{2}$ . By Vieta's formulas, product of roots equals $\frac{c}{a} = \frac{5}{2}$ .

Flashcard 43: What is the sum of the roots of $ax^2 + bx + c = 0$ ?

Answer: $-\frac{b}{a}$ . By Vieta's formulas, sum of roots equals $-\frac{b}{a}$ .

Flashcard 44: What is the standard form of a quadratic equation?

Answer: $ax^2 + bx + c = 0$ . The general form where $a \neq 0$ defines a quadratic equation.

Flashcard 45: Find the polynomial's degree: $7x^5 - 3x^4 + 2x^2$ .

Answer: The degree is 5. The highest power of the variable determines the degree.

Flashcard 46: Which term is the leading coefficient in $7x^3 - 4x^2 + x - 9$ ?

Answer:

The coefficient of the highest degree term is the leading coefficient.

Flashcard 47: Find the remainder when $x^3 - 2x + 1$ is divided by $x - 1$ .

Answer: The remainder is 0. By the Remainder Theorem, substitute $x = 1$ .

Flashcard 48: Identify the polynomial type: $x^4 + 3x^3 - x + 2$ .

Answer: It is a quartic polynomial. A degree 4 polynomial is called quartic.

Flashcard 49: State the degree of the polynomial $3x^4 + 2x^3 - x + 5$ .

Answer: The degree is 4. The highest power of x determines the degree.

Flashcard 50: Calculate the product of the roots for $2x^2 - 3x + 5 = 0$ .

Answer: $\frac{5}{2}$ . By Vieta's formulas, product of roots equals $\frac{c}{a} = \frac{5}{2}$ .

Flashcard 51: What is the sum of the roots of the polynomial $x^2 - 6x + 9$ ?

Answer: The sum of the roots is 6. By Vieta's formulas: $-\frac{b}{a} = -\frac{(-6)}{1} = 6$ .

Flashcard 52: Identify the polynomial type: $x^4 + 3x^3 - x + 2$ .

Answer: It is a quartic polynomial. A degree 4 polynomial is called quartic.

Flashcard 53: Determine the y-intercept of $2x^3 + 3x^2 - 5x + 7$ .

Answer: The y-intercept is 7. The constant term gives the y-intercept.

Flashcard 54: What is the standard form of a quadratic equation?

Answer: $ax^2 + bx + c = 0$ . The general form where $a \neq 0$ defines a quadratic equation.

Flashcard 55: What is the factored form of $x^2 - 4$ ?

Answer: $(x - 2)(x + 2)$ . Difference of squares: $a^2 - b^2 = (a-b)(a+b)$ .

Flashcard 56: Find the polynomial's degree: $7x^5 - 3x^4 + 2x^2$ .

Answer: The degree is 5. The highest power of the variable determines the degree.

Flashcard 57: What is the zero of the polynomial $x - 5$ ?

Answer: The zero is 5. Set the polynomial equal to zero and solve.

Flashcard 58: What is the constant term in the polynomial $4x^3 + 3x^2 + 2x + 1$ ?

Answer: The constant term is 1. The term with no variable, also called the constant coefficient.

Flashcard 59: What is the result of $x^2 - 9$ divided by $x + 3$ ?

Answer: $x - 3$ . Factor and cancel: $\frac{(x-3)(x+3)}{(x+3)} = x-3$ .

Flashcard 60: Find the remainder when $x^3 - 2x + 1$ is divided by $x - 1$ .

Answer: The remainder is 0. By the Remainder Theorem, substitute $x = 1$ .

Flashcard 61: Find the greatest common factor of $3x^3 - 9x^2$ .

Answer: The GCF is $3x^2$ . Factor out the common term $3x^2$ .

Flashcard 62: Identify the leading term in $3x^4 + 6x^3 - x^2 + 2$ .

Answer: The leading term is $3x^4$ . The term with the highest degree and its coefficient.

Flashcard 63: Which term is the linear term in $4x^3 + 2x - 7$ ?

Answer: The linear term is $2x$ . The term with $x$ raised to the first power.

Flashcard 64: What is the result of factoring $x^2 - 9$ ?

Answer: $(x - 3)(x + 3)$ . This is a difference of squares: $a^2 - b^2 = (a-b)(a+b)$ .

Flashcard 65: Identify the leading term in $3x^4 + 6x^3 - x^2 + 2$ .

Answer: The leading term is $3x^4$ . The term with the highest degree and its coefficient.

Flashcard 66: State the multiplicity of the zero for $x(x-2)^2$ at $x=2$ .

Answer: The multiplicity is 2. The exponent of $(x-2)$ indicates its multiplicity.

Flashcard 67: What is a polynomial with only one term called?

Answer: It is called a monomial. A polynomial with exactly one term.

Flashcard 68: What is a polynomial with only one term called?

Answer: It is called a monomial. A polynomial with exactly one term.

Flashcard 69: State the quadratic formula used to solve $ax^2 + bx + c = 0$ .

Answer: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ . Derived by completing the square on the standard form.

SAT Math Flashcards: Polynomial Equations

Polynomial Equations

What this deck covers

How to use these flashcards

All flashcards

Flashcard 1: Which term is the quadratic term in 2x3−5x2+3x2x^3 - 5x^2 + 3x2x3−5x2+3x?

Flashcard 2: What is the zero of the polynomial x−5x - 5x−5?

Flashcard 3: Express the polynomial x2−6x+9x^2 - 6x + 9x2−6x+9 in factored form.

Flashcard 4: Find the value of the discriminant for x2+4x+4x^2 + 4x + 4x2+4x+4.

Flashcard 5: What is the coefficient of x2x^2x2 in 2x4−3x2+x−52x^4 - 3x^2 + x - 52x4−3x2+x−5?

Flashcard 6: Find the value of the discriminant for x2+4x+4x^2 + 4x + 4x2+4x+4.

Flashcard 7: What is the standard form of a quadratic equation?

Flashcard 8: Express the polynomial x2−6x+9x^2 - 6x + 9x2−6x+9 in factored form.

Flashcard 9: Determine if x=2x = 2x=2 is a root of x2−4x+4=0x^2 - 4x + 4 = 0x2−4x+4=0.

Flashcard 10: What is the sum of the roots of ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0?

Flashcard 11: State the number of zeros for the polynomial x3−6x2+11x−6x^3 - 6x^2 + 11x - 6x3−6x2+11x−6.

Flashcard 12: What is the standard form of a polynomial equation?

Flashcard 13: Which polynomial has a degree of 3?

Flashcard 14: What is the result of x2−9x^2 - 9x2−9 divided by x+3x + 3x+3?

Flashcard 15: Identify the leading coefficient in 5x3−4x2+2x−15x^3 - 4x^2 + 2x - 15x3−4x2+2x−1.

Flashcard 16: What is the standard form of a polynomial equation?

Flashcard 17: Identify the degree of the polynomial 3x4−5x3+x−23x^4 - 5x^3 + x - 23x4−5x3+x−2.

Flashcard 18: What is the formula for the sum of the roots of ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0?

Flashcard 19: Which term is the leading coefficient in 7x3−4x2+x−97x^3 - 4x^2 + x - 97x3−4x2+x−9?

Flashcard 20: Determine the product of the roots for x2−4x+4x^2 - 4x + 4x2−4x+4.

Flashcard 21: Which polynomial has a degree of 3?

Flashcard 22: What is the formula for the difference of squares?

Flashcard 23: What is the standard form of a quadratic equation?

Flashcard 24: Give the product of the roots for ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0.

Flashcard 25: Find the greatest common factor of 3x3−9x23x^3 - 9x^23x3−9x2.

Flashcard 26: State the multiplicity of the zero for x(x−2)2x(x-2)^2x(x−2)2 at x=2x=2x=2.

Flashcard 27: What is the formula for the sum of the roots of ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0?

Flashcard 28: What is the expanded form of (x+2)(x−3)(x+2)(x-3)(x+2)(x−3)?

Flashcard 29: Determine the y-intercept of 2x3+3x2−5x+72x^3 + 3x^2 - 5x + 72x3+3x2−5x+7.

Flashcard 30: Which term is the linear term in 4x3+2x−74x^3 + 2x - 74x3+2x−7?

Flashcard 31: What is the coefficient of x2x^2x2 in 2x4−3x2+x−52x^4 - 3x^2 + x - 52x4−3x2+x−5?

Flashcard 32: Determine if x=2x = 2x=2 is a root of x2−4x+4=0x^2 - 4x + 4 = 0x2−4x+4=0.

Flashcard 33: State the quadratic formula used to solve ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0.

Flashcard 34: What is the formula for the difference of squares?

Flashcard 35: What is the sum of the roots of the polynomial x2−6x+9x^2 - 6x + 9x2−6x+9?

Flashcard 36: Give the product of the roots for ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0.

Flashcard 37: What is the expanded form of (x+2)(x−3)(x+2)(x-3)(x+2)(x−3)?

Flashcard 38: What is the constant term in the polynomial 4x3+3x2+2x+14x^3 + 3x^2 + 2x + 14x3+3x2+2x+1?

Flashcard 39: Identify the degree of the polynomial 3x4−5x3+x−23x^4 - 5x^3 + x - 23x4−5x3+x−2.

Flashcard 40: State the degree of the polynomial 3x4+2x3−x+53x^4 + 2x^3 - x + 53x4+2x3−x+5.

Flashcard 41: Identify the multiplicity of x=0x=0x=0 in x2(x−1)x^2(x-1)x2(x−1).

Flashcard 42: Calculate the product of the roots for 2x2−3x+5=02x^2 - 3x + 5 = 02x2−3x+5=0.

Flashcard 43: What is the sum of the roots of ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0?

Flashcard 44: What is the standard form of a quadratic equation?

Flashcard 45: Find the polynomial's degree: 7x5−3x4+2x27x^5 - 3x^4 + 2x^27x5−3x4+2x2.

Flashcard 46: Which term is the leading coefficient in 7x3−4x2+x−97x^3 - 4x^2 + x - 97x3−4x2+x−9?

Flashcard 47: Find the remainder when x3−2x+1x^3 - 2x + 1x3−2x+1 is divided by x−1x - 1x−1.

Flashcard 48: Identify the polynomial type: x4+3x3−x+2x^4 + 3x^3 - x + 2x4+3x3−x+2.

Flashcard 49: State the degree of the polynomial 3x4+2x3−x+53x^4 + 2x^3 - x + 53x4+2x3−x+5.

Flashcard 50: Calculate the product of the roots for 2x2−3x+5=02x^2 - 3x + 5 = 02x2−3x+5=0.

Flashcard 51: What is the sum of the roots of the polynomial x2−6x+9x^2 - 6x + 9x2−6x+9?

Flashcard 52: Identify the polynomial type: x4+3x3−x+2x^4 + 3x^3 - x + 2x4+3x3−x+2.

Flashcard 53: Determine the y-intercept of 2x3+3x2−5x+72x^3 + 3x^2 - 5x + 72x3+3x2−5x+7.

Flashcard 54: What is the standard form of a quadratic equation?

Flashcard 55: What is the factored form of x2−4x^2 - 4x2−4?

Flashcard 56: Find the polynomial's degree: 7x5−3x4+2x27x^5 - 3x^4 + 2x^27x5−3x4+2x2.

Flashcard 57: What is the zero of the polynomial x−5x - 5x−5?

Flashcard 58: What is the constant term in the polynomial 4x3+3x2+2x+14x^3 + 3x^2 + 2x + 14x3+3x2+2x+1?

Flashcard 59: What is the result of x2−9x^2 - 9x2−9 divided by x+3x + 3x+3?

Flashcard 60: Find the remainder when x3−2x+1x^3 - 2x + 1x3−2x+1 is divided by x−1x - 1x−1.

Flashcard 61: Find the greatest common factor of 3x3−9x23x^3 - 9x^23x3−9x2.

Flashcard 62: Identify the leading term in 3x4+6x3−x2+23x^4 + 6x^3 - x^2 + 23x4+6x3−x2+2.

Flashcard 63: Which term is the linear term in 4x3+2x−74x^3 + 2x - 74x3+2x−7?

Flashcard 64: What is the result of factoring x2−9x^2 - 9x2−9?

Flashcard 65: Identify the leading term in 3x4+6x3−x2+23x^4 + 6x^3 - x^2 + 23x4+6x3−x2+2.

Flashcard 66: State the multiplicity of the zero for x(x−2)2x(x-2)^2x(x−2)2 at x=2x=2x=2.

Flashcard 67: What is a polynomial with only one term called?

Flashcard 68: What is a polynomial with only one term called?

Flashcard 69: State the quadratic formula used to solve ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0.

Flashcard 1: Which term is the quadratic term in $2x^3 - 5x^2 + 3x$ ?

Flashcard 2: What is the zero of the polynomial $x - 5$ ?

Flashcard 3: Express the polynomial $x^2 - 6x + 9$ in factored form.

Flashcard 4: Find the value of the discriminant for $x^2 + 4x + 4$ .

Flashcard 5: What is the coefficient of $x^2$ in $2x^4 - 3x^2 + x - 5$ ?

Flashcard 6: Find the value of the discriminant for $x^2 + 4x + 4$ .

Flashcard 8: Express the polynomial $x^2 - 6x + 9$ in factored form.

Flashcard 9: Determine if $x = 2$ is a root of $x^2 - 4x + 4 = 0$ .

Flashcard 10: What is the sum of the roots of $ax^2 + bx + c = 0$ ?

Flashcard 11: State the number of zeros for the polynomial $x^3 - 6x^2 + 11x - 6$ .

Flashcard 14: What is the result of $x^2 - 9$ divided by $x + 3$ ?

Flashcard 15: Identify the leading coefficient in $5x^3 - 4x^2 + 2x - 1$ .

Flashcard 17: Identify the degree of the polynomial $3x^4 - 5x^3 + x - 2$ .

Flashcard 18: What is the formula for the sum of the roots of $ax^2 + bx + c = 0$ ?

Flashcard 19: Which term is the leading coefficient in $7x^3 - 4x^2 + x - 9$ ?

Flashcard 20: Determine the product of the roots for $x^2 - 4x + 4$ .

Flashcard 24: Give the product of the roots for $ax^2 + bx + c = 0$ .

Flashcard 25: Find the greatest common factor of $3x^3 - 9x^2$ .

Flashcard 26: State the multiplicity of the zero for $x(x-2)^2$ at $x=2$ .

Flashcard 27: What is the formula for the sum of the roots of $ax^2 + bx + c = 0$ ?

Flashcard 28: What is the expanded form of $(x+2)(x-3)$ ?

Flashcard 29: Determine the y-intercept of $2x^3 + 3x^2 - 5x + 7$ .

Flashcard 30: Which term is the linear term in $4x^3 + 2x - 7$ ?

Flashcard 31: What is the coefficient of $x^2$ in $2x^4 - 3x^2 + x - 5$ ?

Flashcard 32: Determine if $x = 2$ is a root of $x^2 - 4x + 4 = 0$ .

Flashcard 33: State the quadratic formula used to solve $ax^2 + bx + c = 0$ .

Flashcard 35: What is the sum of the roots of the polynomial $x^2 - 6x + 9$ ?

Flashcard 36: Give the product of the roots for $ax^2 + bx + c = 0$ .

Flashcard 37: What is the expanded form of $(x+2)(x-3)$ ?

Flashcard 38: What is the constant term in the polynomial $4x^3 + 3x^2 + 2x + 1$ ?

Flashcard 39: Identify the degree of the polynomial $3x^4 - 5x^3 + x - 2$ .

Flashcard 40: State the degree of the polynomial $3x^4 + 2x^3 - x + 5$ .

Flashcard 41: Identify the multiplicity of $x=0$ in $x^2(x-1)$ .

Flashcard 42: Calculate the product of the roots for $2x^2 - 3x + 5 = 0$ .

Flashcard 43: What is the sum of the roots of $ax^2 + bx + c = 0$ ?

Flashcard 45: Find the polynomial's degree: $7x^5 - 3x^4 + 2x^2$ .

Flashcard 46: Which term is the leading coefficient in $7x^3 - 4x^2 + x - 9$ ?

Flashcard 47: Find the remainder when $x^3 - 2x + 1$ is divided by $x - 1$ .

Flashcard 48: Identify the polynomial type: $x^4 + 3x^3 - x + 2$ .

Flashcard 49: State the degree of the polynomial $3x^4 + 2x^3 - x + 5$ .

Flashcard 50: Calculate the product of the roots for $2x^2 - 3x + 5 = 0$ .

Flashcard 51: What is the sum of the roots of the polynomial $x^2 - 6x + 9$ ?

Flashcard 52: Identify the polynomial type: $x^4 + 3x^3 - x + 2$ .

Flashcard 53: Determine the y-intercept of $2x^3 + 3x^2 - 5x + 7$ .

Flashcard 55: What is the factored form of $x^2 - 4$ ?

Flashcard 56: Find the polynomial's degree: $7x^5 - 3x^4 + 2x^2$ .

Flashcard 57: What is the zero of the polynomial $x - 5$ ?

Flashcard 58: What is the constant term in the polynomial $4x^3 + 3x^2 + 2x + 1$ ?

Flashcard 59: What is the result of $x^2 - 9$ divided by $x + 3$ ?

Flashcard 60: Find the remainder when $x^3 - 2x + 1$ is divided by $x - 1$ .

Flashcard 61: Find the greatest common factor of $3x^3 - 9x^2$ .

Flashcard 62: Identify the leading term in $3x^4 + 6x^3 - x^2 + 2$ .

Flashcard 63: Which term is the linear term in $4x^3 + 2x - 7$ ?

Flashcard 64: What is the result of factoring $x^2 - 9$ ?

Flashcard 65: Identify the leading term in $3x^4 + 6x^3 - x^2 + 2$ .

Flashcard 66: State the multiplicity of the zero for $x(x-2)^2$ at $x=2$ .

Flashcard 69: State the quadratic formula used to solve $ax^2 + bx + c = 0$ .