How do you factor ##2y^2+7y+6##?

##2y^2+7y+6##

We can Split the Middle Term of this expression to factorise it In this technique, if we have to factorise an expression like ##ay^2 + by + c##, we need to think of two numbers such that:

##N_1*N_2 = a*c = 2.6 = 12## and ##N_1 +N_2 = b = 7## After trying out a few numbers we get ##N_1 = 3## and ##N_2 =4## ##3*4 = 12##, and ##3+4= 7##

##2y^2+7y+6 = 2y^2+4y +3y +6## ## =2y^2+4y +3y +6## ## =2y(y+2) +3(y +2)## ## =color(green)((2y+3)(y+2)##