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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 56 Page 11

Start by removing parentheses, then combine like terms.

2c^2-c+8

Practice makes perfect

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

(3c^2-7)+(4c+7)-(c^2+5c-8)

Remove parentheses

3c^2-7+4c+7-(c^2+5c-8)

Distribute -1

3c^2-7+4c+7-c^2-5c+8

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. 3c^2 - 7 + 4c + 7 - c^2 - 5c + 8 We have three types of like terms: two c^2-terms, two c-terms, and three constants. To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

3c^2-7+4c+7-c^2-5c+8

CommutativePropAdd

Commutative Property of Addition

3c^2-c^2+4c-5c-7+7+8

Add and subtract terms

2c^2-c+8

Subchapter links

Exercises p.10-13