Which of the following is the result of using the remainder theorem to find F (-2)

for the polynomial function F (x) = - 2x3 + x2 + 4x-3?

A. 9

B. - 11

C. 3

D. - 23

A

Step-by-step explanation:

Evaluating F ( - 2) gives the remainder on dividing the polynomial by (x + 2)

F ( - 2) = - 2 ( - 2) ³ + ( - 2) ² + 4 ( - 2) - 3 = 16 + 4 - 8 - 3 = 9 ← remainder

A. 9

Step-by-step explanation:

F (-2) = 9

We are given the polynomial function;

F (x) = - 2x3 + x2 + 4x-3

In order to determine F (-2) using the remainder theorem, we plug in - 2 in place of x in the equation and simplify;

F (-2) = - 2 (-2) ^3 + (-2) ^2 + 4 (-2) - 3

F (-2) = 9