SOLUTION: Find a degree 3 polynomial with coefficient of x^3 equal to 1 and zeros -2, -5 i and 5 i.
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Question 997339
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Find a degree 3 polynomial with coefficient of x^3 equal to 1 and zeros -2, -5 i and 5 i.
Answer by
Boreal(15235)
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(x+2) is one factor
the other two are roots of (x^2+25)=0
Therefore, the polynomial is x^3+2x^2+25x+50