SOLUTION: Find all the zeros of the function F(x) = x^3 - 5x^2 +17x

SOLUTION: Find all the zeros of the function F(x) = x^3 - 5x^2 +17x - 13

Question 248292: Find all the zeros of the function
F(x) = x^3 - 5x^2 +17x - 13
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find all the zeros of the function
F(x) = x^3 - 5x^2 +17x - 13
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Again, x=1 is a zero because f(1) = 0
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1)....1....-5....17....-13
.......1.....-4....13...|..0
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Quotient: x^2 - 4x + 13
Remainder: 0
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Find the zeroes of x^2-4x+13
x = [4 +- sqrt(16-4*1*13)]/2
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x = [4 +- sqrt(-36)]/2
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x = 2+3i or x = 2-3i
==========================
Cheers,
Stan H.
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