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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Study Guide and Review

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Exercise 4 Page 219

Identify b and calculate ( b2)^2.

H

Practice makes perfect

To find the value of c that makes x^2-12x+c a perfect square trinomial, we will complete the square for the given expression. To do so, we will first identify b. In a quadratic expression, b is the linear coefficient, which is the number that is multiplied by the x-variable. x^2 - 12x+Now let's calculate ( b2)^2. Since we have that b=- 12, we can calculate the value of ( b2)^2 by substituting - 12 for b.

(b/2)^2

b= - 12

(- 12/2)^2

Calculate quotient

(- 6)^2

Calculate power

36

The number that completes the square is 36. x^2-12x+ 36 This corresponds to option H.

Subchapter links

1 Solving Quadratic Equations by Factoring p.217

2 Complex Numbers p.217

3 The Quadratic Formula and the Discriminant p.218

4 Transformations of Quadratic Graphs p.218

5 Quadratic Inequalities p.219

Practice Test p.219