Question

Given the polynomial function

f(x) = x4 + 2x3 - 13x2 - 38x - 24 and the zero -3, find all other zeros.

a) 3, 0, -1

b) 4, -1, -2

c) 3, -1, 1

d) 3, -4, -2

Answer 1

factor out the \(x+3\) and get a rather annoying cubic polynomial

Answer 2

I don't know how to do all that.

Answer 3

Wait so is it B

Answer 4

finding the zeros of a cubic polynomial is a drag, but i guess you are supposed to check the usual suspects, like 1 and -1
if fact this factors as \((x-4) (x+1) (x+2) (x+3)\)

Answer 5

yes it is B

Answer 6

Thank you!