How do you factor #3x^2+6x+x+2#?

1 Answer
Apr 26, 2017

Answer:

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

Explanation:

Your immediate question should be: why have they chosen this format for the question?

Notice that they split the terms. So does this imply a repeat of some form?

Notice that for #3x^2+6x->3x(x+2)# and the #x+2# is the right hand split part. So we write:

#3x^2+6x+x+2" "->" "(3x^2+6x)+(x+2)#
#" "3x(x+2)color(white)(..)+1(x+2)#

Factor out the #(x+2)# giving

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