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Example Questions
Example Question #4414 : Algebra 1
Simplify the following:
To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):
Example Question #32 : How To Add Polynomials
Simplify the following:
To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):
Example Question #32 : How To Add Polynomials
Simplify the following:
To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):
Example Question #41 : How To Add Polynomials
Given and
, find
.
When adding the two polynomial functions together, it is important to only add the terms with the same base ( can only add to other terms with the same degree,
, and when doing so, we add the coefficients together).
Following this rule, we get
Example Question #42 : How To Add Polynomials
Add the polynomials and
.
Set up an expression to add the polynomials. Use parentheses to separate both polynomials.
Combine like terms.
The answer is:
Example Question #41 : How To Add Polynomials
Add the following polynomials:
We must begin by combining like terms. Remember that like terms are those that contain the same variables, raised to the same power. This leads us to the following operations:
When we add and subtract accordingly, we are left with:
. Remember, do not add the exponents in this case--only when the terms are being multiplied.
Example Question #41 : How To Add Polynomials
Simplify the following expressions by combining like terms:
Distribute the negative sign through all terms in the parentheses:
Add the second half of the expression, to get:
Example Question #42 : How To Add Polynomials
Simplify the following expression.
None of the other answers.
Place like terms (with the same variable and exponent) together.
Add the like terms.
Example Question #42 : How To Add Polynomials
Add ,
, and
.
None of the other answers.
Add ,
, and
.
Group like terms (with the same variable and exponent). Line up the polynomials in columns to make grouping the terms from several polynomials easier. Then add down.
Example Question #1 : How To Find The Degree Of A Polynomial
Give the degree of the polynomial.
The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 5, 4, 2, and 7.
The degree of the polynomial is the highest degree of any of the terms; in this case, it is 7.
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