Factor the polynomial given that f(k) = 0

x^3 - 5x^2 - 2x + 24; k = -2

i'm hoping somebody can explain how to figure out one of these problems.

The following polynomial can be factorized as,

f(x) =

Step-by-step explanation:

It is given that at x = -2, the value of polynomial is zero, thus, by factor theorm,  

(x+2) is the factor of the above polynomial.

By dividing the given polynomial by (x+2), we get,

F(x) =

This can be further simplified as,

=

= =

Thus the polynomial becomes,

f(x) =

i need a diagram

step-by-step explanation:

no