The remainder when p\left(x\right)=x^3-2x^2+8x+kp ( x ) = x 3 − 2 x 2 + 8 x + k by (x-2) is 19. What is the remainder when p(x) is divided by (x+2)?

The remainder of divided by is .

Step-by-step explanation:

The remainder of a polynomial, , divided by , .

So the remainder of divided by is which is given as .

We therefore need to solve for .

Subtract 16 on both sides:

So the polynomial is .

Now what is the remainder when is divided by . To find that remainder we must evaluate .