Question

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

Answer 1

The answer is c.

If you have a root (a), it can also be written as (x-a).

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

Multiply all of them together to get the equation

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

(x2-x+6x-6)(x-4)=

(x2+5x-6)(x-4)=

(x3+5x2-6x-4x2-20x+24)=

x3+x2-26x+24