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MatroZZZ [7]
4 years ago
10

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

Mathematics
1 answer:
Debora [2.8K]4 years ago
6 0

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.

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