SOLUTION: Factor 50x^5-75x^4+40x^3-60x^2+8x-12

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Question 746780: Factor 50x^5-75x^4+40x^3-60x^2+8x-12
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
50x5-75x4+40x3-60x2+8x-12

This has 6 terms, so we group the odd degree 
terms together and the even degree terms 
together:

(50x5+40x3+8x)+(-75x4-60x2-12)

We can factor 2x out of the first parentheses
and -3 out of the second parentheses:

2x(25x4+20x2+4)-3(25x4+20x2+4)

Now we can factor (25x4+20x2+4) out of each
and leave 2x and -3 to go in a parentheses:

(25x4+20x2+4)(2x-3)

We can also factor the trinomial in the first
parentheses and get:

(5x2+2)(5x2+2)(2x-3)

and since the first two factors are the same,
we can write:

(5x2+2)2(2x-3)

Edwin