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# Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression? (x2 – 7)(x – 5) (x2 – 7)(x + 5) (x2 – 5)(x – 7) (x2 + 5)(x – 7) Factor 15x3 – 5x2 + 6x – 2 by grouping. What is the resulting expression? (5x2 + 2)(3x – 1) (5x2 – 2)(3x + 1) (15x2 + 2)(x – 1) (15x2 – 2)(x + 1)

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We can group x3 - 7x2 - 5x + 35 on two pairs and look for common factors. x3 - 7x2 - 5x + 35 in the following manner. (x3 - 7x2) + (- 5x + 35) =x2(x - 7) - 5(x - 7) If we group the common factor (x - 7), we have (x - 7)(x2 - 5). That means that the answer is C. Similarly for the second element,15x3 - 5x2 + 6x - 2, we can group expressions in (15x3 - 5x2) + (6x - 2) = 5x2(3x - 1) + 2(3x - 1) If we group the common factor, (3x - 1), we have (3x - 1)(5x2 + 2). Therefore, the answer is A.