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oksano4ka [1.4K]
3 years ago
15

What polynomial has roots of −5, −4, and 1

Mathematics
1 answer:
vredina [299]3 years ago
8 0

Answer:

D

Step-by-step explanation:

The question continues with these options:

a. x3 − 8x2 − 11x + 20


b. x3 − x2 + 22x + 40


c. x3 + x2 − 22x − 40


d. x3 + 8x2 + 11x − 20

A cubic in equation (x+5)(x+4)(x-1) or on a graph that crosses at -5, -4, and 1. Multiply the factors out to find the equation.

(x+5)(x+4) = x^2+5x+4x+20=x^2+9x+20

(x-1)(x^2+9x+20)\\x^3-x^2+9x^2-9x+20x-20\\x^3+8x^2+11x-20

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