Question

question
factor:
$x^2 + 7x + 6$
answer attempt 1 out of 2

Explanation:

Step1: Find two numbers that multiply to 6 and add to 7.

The numbers are 1 and 6, since \(1\times6 = 6\) and \(1 + 6=7\).

Step2: Factor the quadratic using these numbers.

We can write \(x^{2}+7x + 6\) as \((x + 1)(x + 6)\) because when we expand \((x + 1)(x + 6)\) using the distributive property (FOIL method), we get \(x^{2}+6x+x + 6=x^{2}+7x + 6\).

Answer:

\((x + 1)(x + 6)\)