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 x²out 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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