SOLUTION: Given that the polynomial function has the given zero, find the other zeros. f(x)= {{{x^3-3x^2-5x+39}}} -3 is a zero.

Algebra ->  Test -> SOLUTION: Given that the polynomial function has the given zero, find the other zeros. f(x)= {{{x^3-3x^2-5x+39}}} -3 is a zero.      Log On


   



Question 240961: Given that the polynomial function has the given zero, find the other zeros.
f(x)= x%5E3-3x%5E2-5x%2B39 -3 is a zero.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given that the polynomial function has the given zero, find the other zeros.
f(x)= x%5E3-3x%5E2-5x%2B39 -3 is a zero.
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Using synthetic division:
-3)....1....-3....-5....39
........1.....-6....13..|..0
Solve x^2 - 6x + 13 = 0
x = [6 +- sqrt(36 - 4*13)]/2
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x = [ 6 +- sqrt(-16)]/2
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x = [6 +- 4i]/2
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x = 3 + 2i or x = 3 - 21
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Cheers,
Stan H.