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PSAT Math : Binomials

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Example Questions

Example Question #2 : How To Find The Value Of The Coefficient

Give the coefficient of $x^{2}$ in the product

$\left ( x+ 0.4\right ) (x - 0.2) (3x-0.7)$ .

Possible Answers:

0.7

0.5

-0.1

1.3

2.5

Correct answer:

-0.1

Explanation:

While this problem can be answered by multiplying the three binomials, it is not necessary. There are three ways to multiply one term from each binomial such that two terms and one constant are multiplied; find the three products and add them, as follows:

$\left (\underline{ x}+ 0.4\right ) (\underline{x} - 0.2) (3x\underline{-0.7})$

$x \cdot x \cdot (-0.7) = -0.7x^{2}$

$\left (\underline{ x}+ 0.4\right ) (x \underline{-0.2})(\underline{3x}-0.7)$

$x \cdot (-0.2) \cdot 3x= -0.6x^{2}$

$\left (x+ \underline{0.4}\right ) (\underline{x} - 0.2)(\underline{3x}-0.7)$

$0.4 \cdot x \cdot 3x = 1.2 x^{2}$

Add: $-0.7x^{2}+ (-0.6x^{2})+ 1.2x^{2} = -0.1x^{2}$ .

The correct response is -0.1 .

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Example Question #1 : How To Find The Solution To A Binomial Problem

Multiply the binomial.

(x-3)(x+4)

Possible Answers:

$x^{2}-12$

$x^{2}-x-12$

$x^{2}+x+12$

$x^{2}+x-12$

Correct answer:

$x^{2}+x-12$

Explanation:

By multiplying with the foil method, we multiply our first values giving x^2 , our outside values giving . our inside values which gives -3x , and out last values giving .

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PSAT Math : Binomials

Study concepts, example questions & explanations for PSAT Math

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Example Questions

Example Question #2 : How To Find The Value Of The Coefficient

Example Question #1 : How To Find The Solution To A Binomial Problem

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