Answer :

Slide and divide is very inefficient. Tell your teacher that.

[tex]9x^{2}+15x+4\\x^{2}+15x+36\\(x+12)(x+3)\\(x+\frac{12}{9})(x+\frac{3}{9})\\(x+\frac{4}{3})(x+\frac{1}{3})\\(3x+4)(3x+1)[/tex]