Question

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

Answer 1

Answer:

$y= x^{3} +4x^{2}-7x-28$

Step-by-step 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)