Factoring out the greatest common factor of following polynomials.
8x^{4 }- 4 x^{3} + 10 x^{2}
Solution
Primary we will notice that we can factor out a 2 out of every term. Also note that we can factor an x^{2 }out of each term. Here then is the factoring for this problem.
8x^{4} - 4 x^{3} + 10 x^{2} = 2 x^{2} (4 x^{2} - 2 x +5)
Note that always we can check our factoring through multiplying the terms back out to ensure we get the original polynomial.