How do you factor the expression #x^2 + 4x - 12#?

2 Answers
Jul 22, 2018

Answer:

#(x-2)(x+6)#

Explanation:

Let's do a little thought experiment:

What two numbers sum up to #4# and have a product of #-12#?

After some trial and error, we arrive at #-2# and #6#. This allows us to factor this as

#(x-2)(x+6)#

Hope this helps!

Jul 23, 2018

Answer:

#(x+6)*(x-2)#

Explanation:

#x^2+4x-12#

=#x^2+4x+4-16#

=#(x+2)^2-4^2#

=#(x+2+4)*(x+2-4)#

=#(x+6)*(x-2)#