Question

Is the binomial a factor of the polynomial function f(x)=x^3+2x^2-16x-32

Answer 1

Step-by-step explanation:

f ( 4 ) = 64 + 32 - 64 - 32 = 0

Thus x - 4 is a factor

Find other factors by synthetic division.

"""""""|1"""""2""""- 16"""""-32

"""""4|"""""""4""""""24""""""32

"""""""|1"""""6"" """""8""""""0

( x - 4 ) ( x ² + 6x + 8 ) = 0

( x - 4 ) ( x + 4 ) ( x + 2 ) = 0

x = - 2 , x = - 4, x = 4