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Form A polynomial f(x)

Calculus
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form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; zeros 9; - i; -3+1

Nov 10th, 2014

Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree 5; zeros: 9, -i, -3+i
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f(x) = (x-9)(x+i)(x-i)(x+3 - i)(x+3 +i)
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= (x-9)(x^2+1)((x+3)^2+1)


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= (x-9)(x^2+1)(x^2 + 6x + 65)
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Nov 10th, 2014

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