SOLUTION: Factor out common factors 8x^6-32x^5+4x^4

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Question 20702: Factor out common factors
8x^6-32x^5+4x^4
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
so, what appears in all 3 terms of 8x%5E6-32x%5E5%2B4x%5E4?

How about if i write it as %284%2A2%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%29+-+%284%2A8%2Ax%2Ax%2Ax%2Ax%2Ax%29+%2B+%284%2A1%2Ax%2Ax%2Ax%2Ax%29?

well, the number 4 does
and the x-terms x%2Ax%2Ax%2Ax

So, we can take these out of all 3 terms, leaving the rest, as: %284%2Ax%2Ax%2Ax%2Ax%29%282%2Ax%2Ax+-+8%2Ax+%2B+1%29

So, this is then really written as %284x%5E4%29%282x%5E2-8x%2B1%29. This is your answer. Try to visual the question in the "long-version" if that helps you.

jon.