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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 4 Page 489

Remember, only like terms can be combined.

x^2-3x-7

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. ( x^2 - 2)-( 3x + 5) In this case, we have one x^2-term, one x-term, and two constants. Only the constant-terms can be combined, so to simplify the expression we will remove the parentheses, rearrange it according to the Commutative Property of Addition, and then combine like terms.

(x^2-2)-(3x+5)

Remove parentheses

x^2-2-(3x+5)

Distribute -1

x^2-2-3x-5

Subtract term

x^2-3x-7

Subchapter links

Lesson Check p.489

Practice and Problem-Solving Exercises p.489-491

Standardized Test Prep p.491

Mixed Review p.491