Question

If f(x) = 5x^3– 4x – 3, then what is the remainder when f (x) is divided by x + 2?

Answer 1

Answer:

$-35$

Step-by-step explanation:

Finding the remainder using the Remainder Theorem

$f(-2) = 5(-2)^3 -4(-2) -3 \\ f(-2) = 5(-8) -4(-2) -3 \\ f(-2) = -40 +8 -3 \\ f(-2) = -35$

Please refer to my answer from this question to know more about the Remainder Theorem.

• brainly.com/question/24591554

You may be wondering why did I make $a = -2$ and not $a = 2$. Notice that the Theorem states when we divide $P(x)$ by $x -a$ the remainder is $P(a)$. In this case we are dividing by $x \red{+} 2$ in which we can rewrite it as $x -(\blue{-2})$.