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McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 17 Page 81

Start by removing parentheses.

- x^2-x+6

Practice makes perfect

To simplify the given expression we will eliminate the parentheses.

( 4x-3x^2+5 ) + ( 2x^2-5x+1 )

RemovePar

Remove parentheses

4x-3x^2+5+2x^2-5x+1

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. 4x - 3x^2 + 5 + 2x^2 - 5x + 1 We have two pairs of like terms: two x^2-terms, two x-terms, and two constants. To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

4x-3x^2+5+2x^2-5x+1

CommutativePropAdd

Commutative Property of Addition

- 3x^2+2x^2+4x-5x+5+1

AddSubTerms

Add and subtract terms

- x^2-x+6

Subchapter links

1 Adding and Subtracting Polynomials p.81

2 Multiplying a Polynomial by a Monomial p.81

3 Multiplying Polynomials p.81

4 Special Products p.82

5 Using the Distributive Property p.82

6 Solving x^2+bx+c=0 p.83

7 Solving ax^2+bx+c=0 p.83

8 Differences of Squares p.84

9 Perfect Squares p.84

10 Roots and Zeros p.85

Exercise 17 Page 81

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