Question

use the remainder theorem to find the remainder when the function $f(x)=x^3 + 8x^2 - 2x$ is divided by $(x + 3)$.
(1 point)
-93
93
51
39

Explanation:

Step1: Find root of divisor

Set $x+3=0$, solve for $x$: $x=-3$

Step2: Apply Remainder Theorem

Substitute $x=-3$ into $f(x)$:
$$f(-3)=(-3)^3 + 8(-3)^2 - 2(-3)$$

Step3: Calculate each term

$(-3)^3=-27$, $8(-3)^2=8\times9=72$, $-2(-3)=6$

Step4: Sum the terms

$$-27 + 72 + 6 = 51$$

Answer:

C. 51