Question

What polynomial has roots of -4, -1, and 6 ?

x3 - 9x2 - 22x + 24

x3 - x2 - 26x - 24

x3 + x2 - 26x + 24

x3 + 9x2 + 14x - 24

Answer 1

The best way to do this question will be Hit and Trial Method...

Put the values (-4,-1,-6) at the place of x in all the expressions, the one which equates to zero is your answer.

Answer 2

If a polynomial has roots of -4, -1, and 6,

Then:
x = -4
x = -1
x = 6

Thus:
x + 4 = 0
x + 1 = 0
x - 6 = 0

By zero product property:
(x + 4)(x - 1)(x - 6) = 0

Expand (x + 4)(x - 1)(x - 6) to find the correct polynomial