<PRE><B>Question 365546</B>
Use the rational zeros and synthetic division to factor f(x)=x^3+x^2-5x-2. 
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Graphing I found a rational zero at x = 2
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Using synthetic division you can find the following:
2)....1....1....-5....-2
.......1....3.....1..|..0

Quotient: x^2+3x+1
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Use the Quadratic formula to find the other zeroes:
x = [-3 +- sqrt(9-4*1*1)]/2
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x = [-3 +- sqrt(5)]/2
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x = (-3+sqrt(5))/2 or x = (-3-sqrt(5))/2
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Cheers,
Stan H.</PRE>