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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

1. Adding and Subtracting Polynomials

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Exercise 39 Page 490

Remember, only like terms can be combined.

5h^4+h^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 — can be combined. ( 14h^4 + 3h^3)-( 9h^4 + 2h^3) In this case we have two h^4-terms and two h^3-terms. All terms can be combined, so to simplify the expression we will remove parentheses, rearrange it according to the Commutative Property of Addition, and then combine like terms.

(14h^4+3h^3)-(9h^4+2h^3)

Remove parentheses

14h^4+3h^3-(9h^4+2h^3)

Distribute -1

14h^4+3h^3-9h^4-2h^3

CommutativePropAdd

Commutative Property of Addition

14h^4-9h^4+3h^3-2h^3

Subtract terms

5h^4+h^3

Subchapter links

Lesson Check p.489

Practice and Problem-Solving Exercises p.489-491

Standardized Test Prep p.491

Mixed Review p.491