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Factor the expression
7x^2 + 50x + 7

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7x^2 + 50x + 7

7x^2 + 49x+ x + 7
7x(x+7) +1(x+7)
(7x+1)(x+7)
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(7x + 1)(x + 7)

Step-by-step explanation:

$$Factor the following:7 x^{2}+50 x+7Factor the quadratic 7 x^{2}+50 x+7. The coefficient of x^{2} is 7 and the constant term is 7. The product of 7 and 7 is 49 . The factors of 49 which sum to 50 are 1 and 49. So:\\\\ 7 x^{2}+50 x+7\\=7 x^{2}+49 x+x+7\\=7(7 x+1)+x(7 x+1) \\\\Factor 7 x+1 from 7(7 x+1)+x(7 x+1) :\\\\(7 x+1)(x+7)$$
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