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November 8th, 2007, 06:38 PM   #1
 
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Challenging Factoring Problem

I spent about 20 minutes on this one. This one is probably the hardest factoring problem I solved in my mathematical education. I am posting this one for you guys to solve.

Factor (1-2x-x^2)(1-2x+3x^2) + 4x^4. Show your work.

Good luck!

J.
johnny is offline  
 
November 8th, 2007, 11:00 PM   #2
 
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(1-2x-x^2)(1-2x+3x^2) + 4x^4
=(1-2x+x²-2x²)(1-2x+x²+2x²)+4x^4
=[(x-1)²-2x^²][(x-1)²+2x²]+4x^4
=(x-1)^4-(2x²)²+4x^4
=(x-1)^4
Richard André-Jeannin is offline  
November 9th, 2007, 04:16 PM   #3
 
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Good job.
johnny is offline  
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