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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 37 Page 11

Start by removing parentheses, then combine like terms.

2z^2+z-11

Practice makes perfect

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

(z^2+z)+(z^2-11)

Remove parentheses

z^2+z+z^2-11

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. z^2 + z + z^2 - 11 We have one pair of like terms: two z^2-terms. To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

z^2+z+z^2-11

CommutativePropAdd

Commutative Property of Addition

z^2+z^2+z-11

Add and subtract terms

2z^2+z-11

Subchapter links

Exercises p.10-13