Question

Find a cubic function with the given zeros. (1 point) Square root of seven. , - Square root of seven. , -4

Answer 1

Given :

Three roots , $\sqrt{7},\ -\sqrt{7},\ -4$ .

To Find :

A cubic function with the given zeros.

Solution :

Equation of polynomial of 3 zeroes is given by :

$(x-a_1)(x-a_2)(x-a_3)=0\\\\(x-\sqrt{7})(x+\sqrt{7})(x+4)=0\\\\( x^2-7)(x+4)=0\\\\x^3+4x^2-7x-28=0$

Therefore, the cubic function of given zeroes is $x^3+4x^2-7x-28=0$.

Hence, this is the required solution.