SOLUTION: Two roots of a polynomial equation with real coefficients are 2+3i and square root of 7. Then find two additional roots. Then find the degree of the polynomial.

SOLUTION: Two roots of a polynomial equation with real coefficients are 2+3i and square root of 7. Then find two additional roots. Then find the degree of the polynomial.

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Question 253818: Two roots of a polynomial equation with real coefficients are 2+3i and square root of 7. Then find two additional roots. Then find the degree of the polynomial.
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
FIrst we are given 2 roots:

and
.
The other 2 roots are

and

These are both conjugates.
So, we have a polynomial expressed as

this can be simplified to

and then to

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