SOLUTION: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4 zeros: -2+2i & 1 multiplicity 2

Question 1004494: Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree 4 zeros: -2+2i & 1 multiplicity 2
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree 4 zeros: -2+2i & 1 multiplicity 2
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If f has Real coeffficient -2-2i must also be a zero
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f(x) = (x-(-2+2i))(x-(-2-2i))(x-1)^2
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f(x) = ((x+2)-2i)((x+2)+2i)(x-1)^2
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f(x) = ((x+2)^2+4))(x^2-2x+1)
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f(x) = (x^2+4x+8)(x^2-2x+1)
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multiply each term of x^2+4x+8 by (x^2-2x+1)
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Cheers,
Stan H.
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