SOLUTION: Factor this equation 2c^3-5c^2+c+2

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Question 19916: Factor this equation
2c^3-5c^2+c+2
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
2c%5E3-5c%5E2%2Bc%2B2

By trial and error, put values into the equation. This will lead us to find one of the factors... start with easy numbers like +1, -1 then +2 and -2 etc until you find one.

so, if c=1, we get that the polynomial is equal to zero, so c=1 is a solution (or root). If c=1, then (c-1)=0. Therefore, we can say that (c-1) is a factor.

You now need to perform long division of this factor into the polynomial to find the other factor. Doing this, gives 2c%5E2-3c-2.

So, the factors are %28c-1%29%282c%5E2-3c-2%29. Factoring the quadratic gives the final answer: %28c-1%29%282c%2B1%29%28c-2%29

jon.