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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 12 Page 10

Begin with the Distributive Property.

g^3-3g^2+3g+6

Practice makes perfect

To simplify the given expression, we will use the Distributive Property to eliminate the second set of parentheses.

(g^3-2g^2+5g+6)-(g^2+2g)

Remove parentheses

g^3-2g^2+5g+6-(g^2+2g)

Distribute -1

g^3-2g^2+5g+6-g^2-2g

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. g^3 - 2g^2+ 5g + 6 - g^2- 2g We have two pairs of like terms: two g^2-terms and two g-terms. To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

g^3-2g^2+5g+6-g^2-2g

CommutativePropAdd

Commutative Property of Addition

g^3-2g^2-g^2+5g-2g+6

Subtract terms

g^3-3g^2+3g+6

Subchapter links

Exercises p.10-13