Question

question 28 of 40
use the remainder theorem to divide ( 3x^2 + 10x - 8 ) by ( x - 2 ). what is the remainder?

a. -16
b. -12
c. 6
d. 24

Explanation:

Step1: Identify divisor form

Divisor is $x - 2$, so $a = 2$.

Step2: Apply Remainder Theorem

Evaluate polynomial at $x = 2$: $3(2)^2 + 10(2) - 8$.

Step3: Calculate the value

$3(4) + 20 - 8 = 12 + 20 - 8 = 24$.

Answer:

D. 24