What polynomial has roots of - 5, - 4, and 1?

x3 - 8x2 - 11x + 20

x3 - x2 + 22x + 40

x3 + x2 - 22x - 40

x3 + 8x2 + 11x - 20

Question

Mathematics

Reese Archer

13 March, 08:55

What polynomial has roots of - 5, - 4, and 1?

x3 - 8x2 - 11x + 20

x3 - x2 + 22x + 40

x3 + x2 - 22x - 40

x3 + 8x2 + 11x - 20

+5

Answers (1)

Know the Answer?

Tamara Heath · Answer 1

The last choice.

Step-by-step explanation:

The last term is - 20 and because we have a coefficient of 1 on the x^3, and in order to get this last term and the given roots the factors have to be

(x + 5) (x + 4) (x - 1) so it is the last option.

What polynomial has roots of - 5, - 4, and 1?x3 - 8x2 - 11x + 20x3 - x2 + 22x + 40x3 + x2 - 22x - 40x3 + 8x2 + 11x - 20

What polynomial has roots of - 5, - 4, and 1?

x3 - 8x2 - 11x + 20

x3 - x2 + 22x + 40

x3 + x2 - 22x - 40

x3 + 8x2 + 11x - 20