Question

use the given zero to find the remaining zeros of the function.
f(x) = x^3-2x^2-11x+52; zero: -4

Answer 1

so, we know that a zero/solution/root is -4, or that is x = -4 meaning (x+4)

x = -4 => (x+4) = 0

if you divide the polynomial by any of its roots, you'd get a zero as remainder
so your quotient, will be the one you'd need to factor in order to get the other roots

so what would you get for \(\bf \cfrac{ x^3-2x^2-11x+52}{x+4}\)

Answer 2

im not quite sure how i could divide that out

Answer 3

use long division