SOLUTION: Hello, I'm doing my homework right now on Polynomial functions, and I'm stuck on one problem that we didn't cover in class. So if you could help me out, that would be excellent.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello, I'm doing my homework right now on Polynomial functions, and I'm stuck on one problem that we didn't cover in class. So if you could help me out, that would be excellent.       Log On


   



Question 360124: Hello,
I'm doing my homework right now on Polynomial functions, and I'm stuck on one problem that we didn't cover in class. So if you could help me out, that would be excellent. Thanks in advance!
Find the x-intercepts of the polynomial f(x)=x^3+2x^2-8x
A)4, -2
B)0, 2, and -4
C)-2, 0, and 4
D)-4 and 2

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
f(x)=x^3+2x^2-8x
f(x)= x(x^2 +2x -8)
f(x)= x(x -2)(x +4)
x intercepts are the value of x where f(x) = 0
x(x -2)(x +4)= 0
x = 0
x = 2
x =-4
Answer B would be the correct choice
graph%28300%2C300%2C-20%2C20%2C-20%2C10%2C+x%5E3+%2B2x%5E2+-8x%29%29