Question

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

x3 - 9x2 - 22x + 24

x3 - x2 - 26x - 24

x3 + x2 - 26x + 24

x3 + 9x2 + 14x - 24

Answer 1

a couple of options

1. if you know the roots then the binomial factors as

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

and distribute.

2. use the factor theorem and find

f(-4), f(-6) and f(1) for each


3. apply you knowledge about the sum and product of the roots of a polynomial...