SOLUTION: Form a polynomial f(x) with real coefficients having the given degree and zeros. Expand into standard form Degree 3: zeros: 1 + i and -8

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Question 632486: Form a polynomial f(x) with real coefficients having the given degree and zeros. Expand into
standard form
Degree 3: zeros: 1 + i and -8
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Form a polynomial f(x) with real coefficients having the given degree and zeros. Expand into
standard form
Degree 3: zeros: 1 + i and -8
----------
Complex zeroes occur in conjugate pairs, so a zero is 1 - i
------------
(x - 1 - i)*(x - 1 + i) = x^2 - x + ix - x + 1 - i - ix + i + 1
x^2 - 2x + 2
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--> (x+8)*(x^2 - 2x + 2) = 0
You can multiply that one.