SOLUTION: Write the polynomial equation of degree 3 with roots 3-2i and -1, given that the polynomial passes through the point (1, 32).

Question 1073125: Write the polynomial equation of degree 3 with roots 3-2i and -1, given that the polynomial passes through the point (1, 32).
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Write the polynomial equation of degree 3 with roots 3-2i and -1, given that the polynomial passes through the point (1,32).
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3+2i is also a root.
--> f(x) = (x+1)*(x-3-2i)*(x-3+2i) = (x+1)*(x^2 -6x + 13) = x^3 - 5x^2 + 7x + 13
f(1) = 16 --> Multiply by 2
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P(x) = 2x^3 - 10x^2 + 14x + 26

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