Question

Find a cubic function with the given zeros. Square root of seven. , - Square root of seven. , -4

Answer 1

`y= x^(3) +4x^(2)-7x-28`

Explanation:

We have to find a cubic function of x whose zeros are at x = √7, x = -√7 and at x = -4.

Therefore, the factors of the function will be (x - √7), (x + √7), and (x + 4)

Hence, the equation will be y = (x - √7) (x + √7) (x + 4)

⇒
`y = (x^(2) -7)(x +4)`

⇒
`y= x^(3) +4x^(2)-7x-28` (Answer)