Factoring out the greatest common factor, Mathematics

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Factoring out the greatest common factor of following polynomials.

                   8x4 - 4 x3 + 10 x2

 Solution

Primary we will notice that we can factor out a 2 out of every term.  Also note that we can factor an x2 out of each term.  Here then is the factoring for this problem.

8x4 - 4 x3 + 10 x2  = 2 x2 (4 x2 - 2 x +5)

Note that always we can check our factoring through multiplying the terms back out to ensure we get the original polynomial.


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