SOLUTION: Find a polynomial with integer coefficients that has degree 4, zeros 5i and 1+i, and constant term 150.

SOLUTION: Find a polynomial with integer coefficients that has degree 4, zeros 5i and 1+i, and constant term 150.

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Question 1155518: Find a polynomial with integer coefficients that has degree 4, zeros 5i and 1+i, and constant term 150.
Answer by josgarithmetic(39626) (Show Source): You can put this solution on YOUR website!
Start with , and simplify.

Doing the multiplying carefully, and understanding that ,
the steps should yield , which is not yet fully multiplied.

Constant term of 150 means that if x is one of the zeros, then y is 150. Use this to find "a".
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