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

x3 - 9x2 - 22x + 24

x3 - x2 - 26x - 24

x3 + x2 - 26x + 24

x3 + 9x2 + 14x - 24

The correct option is C

Step-by-step explanation:

We have given the roots - 6, 1 and 4.

Write down the roots:

x = - 6, x=1, x=4

Rewrite the roots as an expression:

x+6=0

x-1=0

x-4=0

Now we have the following expressions:

= (x+6) (x-1) (x-4)

Now Multiply the terms:

= (x²-x+6x-6) (x-4)

= (x²+5x-6) (x-4)

=x (x²+5x-6) - 4 (x²+5x-6)

=x³+5x²-6x-4x²-20x+24

Solve the like terms:

=x³+x²-26x+24

Thus the correct option is C ...