Question 475609: Find the polynomial with integer coefficients that satisfies the given conditions
Degree of polynomial: 4
Zeroes: 3 (multiplicity 2), 2-i
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find the polynomial with integer coefficients that satisfies the given conditions
Degree of polynomial: 4
Zeros: 3 (multiplicity 2), 2-i
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Since the coefficients are Real Numbers, 2+i is also a zero.
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Polynomial:
f(x) = (x+3)^2*((x-2)+i)((x+2)-i)
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f(x) = (x^2+6x+9)((x-2)^2+1)
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f(x) = (x^2+6x+9)(x^2-4x+5)
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Multiply each term in the 1st factor by each term in the 2nd factor.
The combine the "like" terms.
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Cheers,
Stan H.
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