How do you factor #x^2 +3x +2#?

1 Answer
Don't Memorise
May 23, 2015

#x^2 +3x +2#

We can Split the Middle Term of this expression to factorise it
In this technique, if we have to factorise an expression like #ax^2 + bx + c#, we need to think of 2 numbers such that:

#N_1*N_2 = a*c = 1*2 = 2#
And,
#N_1 +N_2 = b = 3#

After trying out a few numbers we get #N_1 = 2# and #N_2 =1#
#2*1 = 2# and #2+1= 3#

#x^2 +3x +2 = x^2 +2x + x +2 #
# x (x+2) + 1(x +2) #

#color(green)((x+1))color(red)((x+2)# , is the factorised form.

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