How do you write #6x^2+5x+1# in factored form?

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Answer 1 · 2015-09-17T16:57:35

#=color(blue)((3x+1)(2x+1)# is the factorised form of the expression.

# 6x^2+5x+1#

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 = 6*1 = 6#
AND
#N_1 +N_2 = b = 5#

After trying out a few numbers we get #N_1 = 2# and #N_2 =3#
#2*3 = 6#, and #2+3=5#

# 6x^2+5x+1= 6x^2+3x+2x+1#

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

#=color(blue)((3x+1)(2x+1)# is the factorised form of the expression.