# SOLUTION: Good afternoon. Here is a question I need some help with. Find all of the zeros of F(x) if F(x)=(x^2-4)^3 This is what I have done so far F(x)=(x^2-4)^3 F(2)=(2^2-4)^

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: Good afternoon. Here is a question I need some help with. Find all of the zeros of F(x) if F(x)=(x^2-4)^3 This is what I have done so far F(x)=(x^2-4)^3 F(2)=(2^2-4)^      Log On

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 Click here to see ALL problems on Polynomials-and-rational-expressions Question 257336: Good afternoon. Here is a question I need some help with. Find all of the zeros of F(x) if F(x)=(x^2-4)^3 This is what I have done so far F(x)=(x^2-4)^3 F(2)=(2^2-4)^3 F(0)=(0^2-0)^3 Answer {2, (Triple zero), -2 (triple zero} Any help is a lot of help so thank you much!Answer by dabanfield(803)   (Show Source): You can put this solution on YOUR website!Find all of the zeros of F(x) if F(x)=(x^2-4)^3 A zero of F(x) is a number k for which F(k) = 0. We need to find values of x that cause (x^2-4)^3 = 0. Note that x^2 - 4 = (x+2)*(x-2) so we need to find values of x such that [(x+2)*(x-2)]^3 = 0 So zeros are where x-2 = 0 or x+2 = 0. That is x = 2 or x = -2