Which of the following is a root of the polynomial shown below? f (x) = x^3-4x^2-11x+30

a. - 3

b. 0

c. 1

d. 6

It is a root of the polynomial if it causes the equation to equal 0.

Let's try each number.

Substituting - 3 for x ...

(-3) ³ - 4 (-3) ² - 11 (-3) + 30

-27 - 36 + 33 + 30

0

Therefore, a. - 3 is a root to our polynomial.

You could try the rest, but I won't waste time with it. None of the others are roots, and it's multiple choice which means usually just one answer.