Question

Medal anyone?
Find a polynomial with a degree of 3, and the zeros 1,7, & -4

Answer 1

How exactly would I go about solving this?

Answer 2

I thought I would post my findings in case it helps anyone else in the future:
To find a polynomial with a degree and given zeroes...
1.) Plug each given zero into this equation (x-a) where a is the zero.
1, 7, -4... (x-1) (x-7) (x+4)
2.) Multiply all of them together...
\[x^3-4x^2-25x-28\]
3.) Make sure the degree of your new polynomial is correct.
The needed degree for this polynomial is 3, and the degree we have is 3.
This polynomial meets all standards.