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

Mathematics

2 answers:

dem82 [27]2 years ago

8 0

7x^2 + 50x + 7

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

alina1380 [7]2 years ago

3 0

Answer: (7x + 1)(x + 7)

Step-by-step explanation:

$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)$

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