Question

Form a polynomial whose zeros and degrees are given.Zeros: -3,3,4Degree: 3 Type a polynomial with integer coefficients and a leading coefficient of 1.

Answer 1

Given:

Zeros of the polynomial are -3,3,4

`(x+3)(x-3)(x-4)=0`
`(x^2-3^2)(x-4)=0`
`(x^2-9^{})(x-4)=0`
`x^3-4x^2-9x+36=0`

Therefore the polynomial of the given zeros is

`x^3-4x^2-9x+36=0`