Is X + 2 a factor of x^ +4x + 4?

Question

Is X + 2 a factor of X(exponent 2) +4x +4? 

Answer 1

To determine if x + 2 is a factor of x² + 4x + 4, you must factor the trinomial:

 

x² + 4x + 4

(x + 2)(x + 2)

 

When you factor the trinomial, your two binomial factors are x + 2 and x + 2, so x + 2 is a factor of x² + 4x + 4.