body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

1. Adding and Subtracting Polynomials

Continue to next subchapter

Exercise 15 Page 10

Start by removing parentheses, then combine like terms.

- 8z^3-3z^2-2z+13

Practice makes perfect

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

(- 4z^3-2z+8)-(4z^3+3z^2-5)

Remove parentheses

- 4z^3-2z+8-(4z^3+3z^2-5)

Distribute -1

- 4z^3-2z+8-4z^3-3z^2+5

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

- 4z^3-2z+8-4z^3-3z^2+5

CommutativePropAdd

Commutative Property of Addition

- 4z^3-4z^3-3z^2-2z+8+5

Add and subtract terms

- 8z^3-3z^2-2z+13

Subchapter links

Exercises p.10-13