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23 May, 02:28

Complete the steps to factor 56x2 - 8x - 7x + 1 by grouping. group pairs of terms with common factors. (56x2 - 8x) + (-7x + 1) factor the gcf from each group. 8x (7x - 1) - 1 (7x - 1) use the distributive property. what is the factorization of the polynomial? (8x - 1) (7x - 1) (8x + 1) (7x - 1) (8x + 7x) (1 - 1)

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  1. 23 May, 02:42
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    (8x-1) (7x-1) The question leaves you with the partially factored equation: 8x (7x-1) - 1 (7x-1) Now if you look at the partially factored equation, you'll see that both terms have (7x-1) as one of their factors. So let's take that (7x-1) as a factor and divide both terms by (7x-1), giving us (8x (7x-1) - 1 (7x-1)) / (7x-1) The (7x-1) factors cancel out, leaving us with (8x - 1) So our 2 factors are (7x-1) and (8x-1). Looking at the available options, the only correct one is (8x-1) (7x-1)
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