Find a polynomial of degree n that has only the given zero(s). (There are many correct answers.) x = −1, 8, 9, 5; n = 5

Given :

Solutions of polynomial x = -1, 8, 9, 5 .

To Find :

A polynomial with given roots.

Solution :

We know, polynomial of zeroes x1, x2 , x3 ....... xn is given by :

So, for given zeroes equation is :

Therefore, degree of polynomial is 4 ( equal to number of zeroes ).

Hence, this is the required solution.

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step-by-step explanation: