Given :
Three roots , [tex]\sqrt{7},\ -\sqrt{7},\ -4[/tex] .
To Find :
A cubic function with the given zeros.
Solution :
Equation of polynomial of 3 zeroes is given by :
[tex](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[/tex]
Therefore, the cubic function of given zeroes is [tex]x^3+4x^2-7x-28=0[/tex].
Hence, this is the required solution.
