# Chapter 6 - Section 6.2 - Factoring Trinomials of the Form x2+bx+c - Vocabulary and Readiness Check - Page 428: 9

$x^{2}$ + 4x + 4 = (x + 2)(x + 2) Answer = 2 $\rightarrow$(x + 2)

#### Work Step by Step

$x^{2}$ + 4x + 4 = (x + 2)(x + 2) We need two numbers such that their product is 4 and sum is also 4. But, one number is already given: $\rightarrow$ 2 Thus, the other number is $\frac{4}{2}$ = 2. Since 2 + 2 = 4 and 2(2) = 4, 2 is the reqiured number $\rightarrow$ (x + 2).

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