Factorise: #x^2+5x+6#?

2 Answers
Apr 14, 2018

#(x+3)(x+2)#

Explanation:

#x^2+5x+6# = #(x+3)(x+2)#

You have to basically find two numbers that when added together equals to 5 and when multiplied together equals to 6 because the equation is in the form #ax^2+bx+c=0#

OR it can be written as #x^2+(sum of roots)x + (products of roots)#

Aug 5, 2018

#(x+2)(x+3)#

Explanation:

To factor this, let's do a little thought experiment:

What two number sum up to #5# (middle term) and have a product of the last term (#6#)?

After some trial and error, we arrive at #2# and #3#. This means we can factor this as

#(x+2)(x+3)#

Hope this helps!