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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.
x=±4, if -2 = y =0 x=±2, if -2 = y = 0
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