Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

How do I factor x^2+7×+6

Sagot :

[tex]x^2+7x+6\\\\7x=6x+1x\\\\6=6\cdot1\\\\x^2+7x+6=(x+6)(x+1)[/tex]
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)