SOLUTION: Hi Again, Thanks for everyone helping me! I am stuck on this one! Here is the directions and problem: If you believe that a polynomial is not factorable, label it as prime. Sho

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi Again, Thanks for everyone helping me! I am stuck on this one! Here is the directions and problem: If you believe that a polynomial is not factorable, label it as prime. Sho      Log On


   

Question 106161: Hi Again,
Thanks for everyone helping me! I am stuck on this one! Here is the directions and problem: If you believe that a polynomial is not factorable, label it as prime. Show all stages of factoring separately (i.e., show the result of factoring out a GCF before taking the resulting polynomial and factoring it again.
Problem: Factor Completely x^3 – 2x^2 + 7x – 14
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Factor Completely x^3 – 2x^2 + 7x – 14
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I graphed it and found a zero at x=2.
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Use synthetic division to find other zeroes:
2)....1....-2....7....-14
........1....0....7....|..0
Remainder: zero
Quotient: x^2+7
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Find the zeroes of x^2+7 = 0
Factor:
(x+isqrt(7))(x-isqrt(7)) = 0
x = -isqrt(7) or x= isqrt(7) or x=2
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Cheers,
Stan H.