Question

How do I factor x^2+7×+6

Answer 1

$x^2+7x+6\\\\7x=6x+1x\\\\6=6\cdot1\\\\x^2+7x+6=(x+6)(x+1)$

Answer 2

To factor the equation, you need to convert it to the form (x+a)(x+b) and find out what a and b are.
When you multiply (x+a)(x+b), you get x² + (a+b)x + ab.
With the expression x² + 7x + 6, we know that a+b is equal to 7 and a times b is equal to 6. 
The only two numbers that add to 7 and multiply to 6 are 1 and 6, leaving us with:
(x+6)(x+1)