SOLUTION: Find a third degree polynomial with integer coefficients with the following roots:
8 and 3i
Algebra.Com
Question 813327: Find a third degree polynomial with integer coefficients with the following roots:
8 and 3i
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find a third degree polynomial with integer coefficients with the following roots:
8 and 3i
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Since the poly has integer coefficients, -3i is also a root.
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f(x) = (x-8)(x-3i)(x+3i)
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= (x-8)(x^2+9)
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= x^3 - 8x^2 + 9x - 72
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Cheers,
Stan H.
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