Factoring out the greatest common factor of following polynomials.
8x4 - 4 x3 + 10 x2
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.