SOLUTION: Write a polynomial function with rational coefficients in standard form with the given zeros. [] means square root.. please help 10. 2, 3, 5 11. [3], 2i

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Question 177363: Write a polynomial function with rational coefficients in standard form with the given zeros. [] means square root.. please help

10. 2, 3, 5




11. [3], 2i
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
10 (x-2)(x-3)(x-5)=0
:
%28x%5E2-5x%2B6%29%28x-5%29=0
:
x%5E3-5x%5E2-5x%5E2%2B25x%2B6x-30=0
:
x%5E3-10x%5E2%2B31x-30=0
:
11)
since one root is 2i there has to be another root which is its conjugate -2i
:
%28x-sqrt%283%29%29%28x%2B2i%29%28x-2i%29=0
:
%28x-sqrt%283%29%29%28x%5E2%2B4%29=0
:
x%5E3-sqrt%283%29x%5E2%2B4x-4sqrt%283%29=0