Question

Factor the expression
7x^2 + 50x + 7
(Type your answer in factored form.)

Answer 1

7x^2 + 50x + 7

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

Answer 2

(7x + 1)(x + 7)

Step-by-step explanation:

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