What polynomails has the roots of -6, -4 ,and 1? a)x³-9x²-22x+24 b) x³-x²-26x-24 c) x³+x²-26x+24 d)x³+9x²+14x-24.

x = 1 or x = -4 or x = -6 thus d: is your answer

Step-by-step explanation:

Solve for x over the real numbers:

x^3 + 9 x^2 + 14 x - 24 = 0

The left hand side factors into a product with three terms:

(x - 1) (x + 4) (x + 6) = 0

Split into three equations:

x - 1 = 0 or x + 4 = 0 or x + 6 = 0

Add 1 to both sides:

x = 1 or x + 4 = 0 or x + 6 = 0

Subtract 4 from both sides:

x = 1 or x = -4 or x + 6 = 0

Subtract 6 from both sides:

 x = 1 or x = -4 or x = -6