6x^2+14x+4 First factor out all numerical factors (=2 in this case) 2(3x^2+7x+2) look for m,n such that m*n=3*2, m+n=7 => m=6, n=1 2(3x^2+6x + 1x+2) Factor 3x^2+6x into 3x(x+2) 2( 3x(x+2)+1(x+2) ) factor out common factor (x+2) 2(x+2)(3x+1) => 6x^2+14x+4=2(x+2)(3x+1)
