<PRE><B>Question 429403</B>
what are the linear factors of this polynomial: 
7x^3-39x^2-40x+132
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{{{graph(400,300,-20,20,-150,150,7x^3-39x^2-40x+132)}}}

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Using synthetic division:
-2)....7....-39....-40....132
........7...-53.....66....|..0

Solve 7x^2-53x+66 = 0
x = [53 +- sqrt(53^2-4*7*66)]/(2*7)
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x = [53 +- sqrt(961)]/14
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x = [53+31]/14 or x = [53-31]/14
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x = [64/14] or x = [22/14]
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x = 32/7 or x = 11/7
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Zeroes are at x= -2,32/7,11/7
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Cheers,
Stan H. 

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