How do you factor the trinomial #2x^2+7x+3=0 #?

2 Answers
Aug 8, 2016

#x=-3#
#x=-1/2#

Explanation:

#2x^2+7x+3=0#
or
#2x^2+6x+x+3=0#
or
#2x(x+3)+1(x+3)=0#
or
#(x+3)(2x+1)=0#
or
#x+3=0#
or
#x=-3#----------------------------Ans #1#
or
#2x+1=0#
or
#2x=-1#
or
#x=-1/2#--------------------------Ans #2#

Aug 8, 2016

#(2x+1)(1x+3) =0#

Explanation:

Find the factors of 2 an 3 which add ti make 7.

We note that #2xx3 = 6# together with #1 xx 1# will make 7.

#(2x+1)(1x+3) =0#