SOLUTION: I need to find a polynomial of degree 4 with integer coefficients that have roots:-2,3,and 3+2i such that P(3)=-80. I know to use the conjugate of 3+2i which is 3-2i, and I know

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Question 190911: I need to find a polynomial of degree 4 with integer coefficients that have roots:-2,3,and 3+2i such that P(3)=-80.
I know to use the conjugate of 3+2i which is 3-2i, and I know how to put them in the f(x)=a(x-r1)(x-r2...format, but from there I get tripped up and can't figure out what to do with P(3)=-80. Thanks
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
I need to find a polynomial of degree 4 with integer coefficients that have roots:-2,3,and 3+2i such that P(3)=-80.
I know to use the conjugate of 3+2i which is 3-2i, and I know how to put them in the f(x)=a(x-r1)(x-r2...format, but from there I get tripped up and can't figure out what to do with P(3)=-80. Thanks

You must have made a mistake copying the problem, or else
it was wrong in what you copied it from, because if 3 
is a root then P(3) must equal 0, and therefore cannot 
equal -80.

Edwin
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