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

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) (Show Source): You can put this solution on YOUR website!

Start with the given expression

Rearrange the terms

Group like terms

Factor out the GCF out of the first group. Factor out the GCF out of the second group

Since we have the common term , we can combine like terms

Set the expression equal to zero

Now set each factor equal to zero:

or

Now solve for x for each factor:

or

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