Question

Polynomial function in standard form with zeros 5,-4,1

Answer 1

`\boxed{\sf \ \ \ x^3-2x^2-19x+20 \ \ \ }`

Explanation:

hello,

by definition we can write

`(x-5)(x+4)(x-1)`

as 5,-4,1 are the zeroes

now we have to write it in the standard form, let's do it

`(x-5)(x+4)(x-1)=(x^2+4x-5x-20)(x-1)\\=(x^2-x-20)(x-1)=x^3-x^2-20x-x^2+x+20\\=x^3-2x^2-19x+20`

hope this helps