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

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Answer 1 · 2015-11-23T05:14:13

#color(blue)((x+1)(x+2)# is the factorised form of the expression.

#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 +1x+2#

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

#color(blue)((x+1)(x+2)# is the factorised form of the expression.