Question

what is the remainder when $a^3 - 4$ is divided by $a + 2$? -12 -6 0 -2

Explanation:

Step1: Apply Remainder Theorem

For polynomial $f(a)$ divided by $a-c$, remainder is $f(c)$. Here $c=-2$.

Step2: Substitute $a=-2$ into $f(a)$

$f(a)=a^3 - 4$, so $f(-2)=(-2)^3 - 4$

Step3: Calculate the value

$(-2)^3 - 4 = -8 - 4 = -12$

Answer:

-12