Question

Which of the following is a factor of f(x) = 3x3 + 8x2 − 87x + 28? (5 points)

(x − 1 over 4 )

(x + 1 over 4 )

(x − 4)

(x + 4)

Answer 1

(x - 4)

Step by step explanation

To find the factors, plug in the x values in the given equation and see which value of x makes the equation equal to zero.

Here (x - 4) is a factor.

Therefore, x = 4

when we plug in x = 4 in the given expression, we get zero.

Let's check it out.

3(4)^3 + 8 (4)^2 - 87(4) + 28

192 + 128 - 348 + 28

348 - 348

0

The answer is (x - 4)

Thank you.