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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 36 Page 11

Start by removing parentheses, then combine like terms.

3c^3-c^2-3c+3

Practice makes perfect

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

(3c^3-c+11)-(c^2+2c+8)

Remove parentheses

3c^3-c+11-(c^2+2c+8)

Distribute -1

3c^3-c+11-c^2-2c-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^3 - c + 11- c^2 - 2c - 8 We have two pairs of like terms: two c-terms and two constants. To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

3c^3-c+11-c^2-2c-8

CommutativePropAdd

Commutative Property of Addition

3c^3-c^2-c-2c+11-8

Add and subtract terms

3c^3-c^2-3c+3

Subchapter links

Exercises p.10-13