How do you factor the expression #2x^2+ 5x + 3#?

1 Answer
May 2, 2016

Answer:

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

Explanation:

When you want to factorise a quadratic expression, each part conveys information. #color(red)(2) x^2 color(green)+ color(yellow)(5)x color(blue)(+) color(red)3#

Match the colours to the information it conveys.

Find the factors of #color(red)(2) and color(red)(3)# which #color(blue)(ADD)# together to give #color(yellow)5#.
The signs in the brackets will be the #color(blue)(SAME)#, they are both #color(green)(positive)#.

# 2 x 3# #rArr 1 xx 3 = 3#
# 1 x 1# #rArr 2 xx 1 = 2# #3+2=5#

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