Question

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

Which statements are true about the polynomial function?

Select EACH correct answer.

Answer 1

Answer: A and D

Explanation:

f(x) = x⁴ + 5x³ - x² - 5x

= x(x³ + 5x² - x - 5)

= ↓ x²(x + 5) -1(x + 5)

= ↓ (x + 5)(x² - 1)

= ↓ ↓ (x + 1) (x - 1)

So, the factors are: x, x + 5, x + 1, and x - 1

Thus, the solutions are: x = 0, x = -5, x = -1, and x = 1

Any of those factors or solutions will result in a remainder of 0.