Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
Mid-Chapter Quiz
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Exercise 6 Page 510

Remember, only like terms can be combined.

5w^3+10w^2+11w+3

Practice makes perfect
The first step in simplifying this expression is to identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable and the same exponent — can be combined. ( 5w^3 + 3w^2 + 8w+ 2)+( 7w^2 + 3w+ 1) In this case, we have one w^3-term, two w^2-terms, two w-terms, and two constants. Only the w^3-term cannot be combined, so to simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.
(5w^3+3w^2+8w+2)+(7w^2+3w+1)
5w^3+3w^2+8w+2+7w^2+3w+1
5w^3+3w^2+7w^2+8w+3w+2+1
5w^3+10w^2+11w+3