SOLUTION: Write the simplest third degree polynomial with integer coefficient that has -2 and square root 5 as zeros

Question 873059: Write the simplest third degree polynomial with integer coefficient that has -2 and square root 5 as zeros
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Q:
Write the simplest third degree polynomial with integer coefficient that has -2 and square root 5 as zeros
A:
If is a root , then the conjugate is also a root since the coefficients of the polynomial are integers.
and are roots of the quadratic equation . Therefore, the third degree polynomial is or .
The polynomial function is
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