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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 17 Page 10

Start by removing parentheses, then combine like terms.

4y^2+3y+3

Practice makes perfect

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

(y+5)+(2y+4y^2-2)

Remove parentheses

y+5+2y+4y^2-2

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

y+5+2y+4y^2-2

CommutativePropAdd

Commutative Property of Addition

4y^2+y+2y+5-2

Add and subtract terms

4y^2+3y+3

Subchapter links

Exercises p.10-13