SOLUTION: What are the zeroes of this polynomial if b = -2: f(x) = x^2 + 2x + 2b + bx? a. x = -2, b b. x = 2, -2 c. x = 2b, -2b d. f(x) cannot be factored by reverse FOIL

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What are the zeroes of this polynomial if b = -2: f(x) = x^2 + 2x + 2b + bx? a. x = -2, b b. x = 2, -2 c. x = 2b, -2b d. f(x) cannot be factored by reverse FOIL      Log On


   

Question 143331: What are the zeroes of this polynomial if b = -2: f(x) = x^2 + 2x + 2b + bx?
a. x = -2, b
b. x = 2, -2
c. x = 2b, -2b
d. f(x) cannot be factored by reverse FOIL
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2%2B2x%2B2b%2Bbx Start with the given expression


x%5E2%2B2x%2Bbx%2B2b Rearrange the terms


%28x%5E2%2B2x%29%2B%28bx%2B2b%29 Group like terms


x%28x%2B2%29%2Bb%28x%2B2%29 Factor out the GCF x out of the first group. Factor out the GCF b out of the second group


%28x%2Bb%29%28x%2B2%29 Since we have the common term x%2B2, we can combine like terms


%28x%2Bb%29%28x%2B2%29=0 Set the expression equal to zero





Now set each factor equal to zero:

x%2Bb=0 or x%2B2=0

Now solve for x for each factor:

x=-b or x=-2