Question

According to the Rational Root Theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?

A.) 2x + 1
B.) 2x – 1
C.) 3x + 5
D.) 3x – 5

Answer 1

3x-5

Explanation:

This is because it the right answer. Youre welcome!

Answer 2

3x^3 – 5x^2 – 12x + 20

= (3x^3 – 5x^2) – (12x - 20)

= x^2(3x - 5) - 4(3x - 5)

= (3x - 5)(x^2 - 4)

= (3x - 5)(x + 2)(x - 2)

Factors: (3x - 5), (x + 2), and (x - 2)

Answer:

D.) 3x – 5