f: =2x^2+x+14x+7
=x(2x+1)+7(2x+1)
=(2x+1)(x+7)
g: =3x^2+3x-7x-7
=3x(x+1)-7(x+1)
=(x+1)(3x-7)
\(f,2x^2+15x+7\\ =2x^2+x+14x+7\\=x\left(2x+1\right)+7\left(2x+1\right)\\ =\left(x+7\right)\left(2x+1\right)\\ g,3x^2-4x-7\\ =3x^2+3x-7x-7\\ =3x\left(x+1\right)-7\left(x+1\right)\\ =\left(3x-7\right)\left(x+1\right)\)