What is the remainder r when the polynomial p(x) is divided by (x - 2)? is (x - 2) a factor of p(x)? p(x) = -4x4 + 6x3 + 8x2 - 6x - 4 a) r = 0, no b) r = 0, yes c) r = -72, no d) r = -72, yes

B

(x-2) is a factor since remainder is 0.

Step-by-step explanation:

We divide (x-2) into the polynomial through long division or synthetic. We choose long division and look for what will multiply with (x-2) to make the polynomial .

We subtract this from the original .

This leaves . We repeat the step above.

.

We subtract this from . We repeat the step above.

.

We subtract this from . We repeat the step above.

.

We subtract this from . There is no remainder. This means (x-2) is a factor.