Algebra question

Question

Write a polynomial function with the given zeros: 7, 2, -1

Answer 1

Hi,

To find polynomials with the given Zeros, we can write the following monomials and then multiply them together to find the polynomial we want.

First zero is 7 so (x-7)

Second zero is 2 so (x-2)

Third zero is -1 so (x+1)

let's multiply the monomials -> (x-7) * (x-2) * (x+1)

# x^3 + -2x + x + -7x + 14 + -7

# x^3 - 8x + 7 is our polynomial.

I hope this helps, and please reach out if you need additional help :)