Question

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

Answer 1

`\boxed{\sf \ \ \ x^3+8x^2+11x-20 \ \ \ }`

Explanation:

hello,

(x+5)(x+4)(x-1) is one example of polynomial which has roots of -5,-4 and 1

`(x+5)(x+4)(x-1) = (x+5)(x^2-x+4x-4)=(x+5)(x^2+3x-4)\\= x^3+3x^2-4x+5x^2+15x-20=x^3+8x^2+11x-20`

hope this helps