SOLUTION: Find an nth degree polynomial function with real coefficients satisfying the given conditions. n=3;-4 and i are zeros;f(-3)=60

Question 384541: Find an nth degree polynomial function with real coefficients satisfying the given conditions. n=3;-4 and i are zeros;f(-3)=60
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find an nth degree polynomial function with real coefficients satisfying the given conditions. n=3;-4 and i are zeros;f(-3)=60
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Comment: -i is also a zero.
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f(x) = a(x-3)(x+4)(x-i)(x+i)
f(x) = a(x-3)(x+4)(x^2+1)
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Since f(-3) = 60
60 = a(-6)(1)(10)
60 = a(-60)
a = -1
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Equation:
f(x) = -(x-3)(x+4)(x^2+1)
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Cheers,
Stan H.
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