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How do you factor #2x^2+5x+2#?

1 Answer
Jun 2, 2015

#2x^2+5x+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 = 2*2 = 4#
and
#N_1 +N_2 = b = 5#
After trying out a few numbers we get #N_1 = 4# and #N_2 =1#
#4.1= 4#, and #4+1= 5#

#2x^2+5x+2 = 2x^2+4x + 1x+2#
# 2x(x+2) +1(x+2)#

# (x+2)# is common to both the terms.

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