Answer: (7x + 1)(x + 7)
Step-by-step explanation:
[tex]$Factor the following:$7 x^{2}+50 x+7$Factor 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 $7(7 x+1)+x(7 x+1)$ :$\\\\Answer:(7 x+1)(x+7)$[/tex]
