SOLUTION: 36x^3-60x^2+3x-5 factor the polynomial completely

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Question 594765: 36x^3-60x^2+3x-5 factor the polynomial completely
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
36x³-60x²+3x-5

Factor the first two terms 36x³-60x² by factoring out 12x², getting 12x²(3x-5)
So now you have:

12x²(3x-5)+3x-5

Factor the last two terms +3x-5 by factoring out 1, (I know that you don't normally factor out 1, but you need to anyway here, getting +1(3x-5)
So now you have:

12x²(3x-5)+1(3x-5)

Now you can factor out the common factor (3x-5) and the 12x² and the +1
will go in parentheses:

(3x-5)(12x²+1)

Edwin
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