Question

Given that the polynomial function has the given zero, find the other zeros. f(x)=x^3-2x^2-11x+52; -4

Answer 1

If -4 is a zero of the function, we should be able to divide out a factor of (x + 4) from that polynomial to find the other roots.

Answer 2

I'm not following ;)

Answer 3

Well what does it mean to say that -4 is a zero of the function?

Answer 4

that you can set the function to equal -4?

Answer 5

No, that if you plug in a -4 for x you will get 0. f(-4) = 0.

Answer 6

oh ok

Answer 7

And if you get a 0 for a polynomial for a given value of x, that means that when you factor the polynomial you will have at least one factor of (x - a) where a is the zero of the function.

Answer 8

ok. i got 3+4i, 3-4i?

Answer 9

I think it's \(3 \pm 2i\)

Answer 10

ok. i made an error. thanks