Answers:
First statements: True
[tex](-5)^4+5(-5)^3+(-5)^2-5(-5)=0[/tex]
Second statement: False
[tex]\frac{x^4+5x^3+-x^2-5x}{x+5} = x (x - 1) (x + 1)[/tex]
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.
