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 :
[tex]y=(x-x1)(x-x2)(x-x_3).........(x-xn)[/tex]
So, for given zeroes equation is :
[tex]y=(x-(-1))(x-8)(x-9)(x-5)\\\\y=(x+1)(x-8)(x-9)(x-5)[/tex]
Therefore, degree of polynomial is 4 ( equal to number of zeroes ).
Hence, this is the required solution.
