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

it is contrapositive

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