Question

Which statements are true about the polynomial function?

Answer 1

Answers:

First statements: True

$(-5)^4+5(-5)^3+(-5)^2-5(-5)=0$

Second statement: False

$\frac{x^4+5x^3+-x^2-5x}{x+5} = x (x - 1) (x + 1)$

Third statement: False

5 is not a root of this polynomial, therefore (x-5) is not one of its factors/

Fourth statement: False

5 is not a root of this polynomial, therefore f(5) does not equal 0.