Question

Write a polynomial function p(x) with x-intercepts at -1,4, and -5

Answer 1

x^3 + 2x^2 - 19x - 20

Explanation:

Just use factored form to make them zeros, therefore making them x intercepts.

-1 --> x + 1

4 --> x - 4

-5 --> x + 5

(x + 1)(x - 4)(x + 5) = 0

Now multiply this out with a Punnett square.

After that, the result is...

x^3 + 2x^2 - 19x - 20