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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

1. Adding and Subtracting Polynomials

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Exercise 35 Page 11

Start by removing parentheses, then combine like terms.

11x^2+2x-7

Practice makes perfect

To simplify the given expression, we will first eliminate the parentheses.

(2x+3x^2)-(7-8x^2)

Remove parentheses

2x+3x^2-(7-8x^2)

Distribute -1

2x+3x^2-7+8x^2

The next 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. 2x + 3x^2 - 7 + 8x^2 We have one pair of like terms: two x^2-terms. To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

2x+3x^2-7+8x^2

CommutativePropAdd

Commutative Property of Addition

3x^2+8x^2+2x-7

Add and subtract terms

11x^2+2x-7

Subchapter links

Exercises p.10-13