To solve this, we are going to expand our expression; in other word, we are going to multiply both binomials and simplify:
[tex]f(x)=(3x+3)(5x-2)[/tex]
[tex]f(x)=15x^2-6x+15x-6[/tex]
[tex]f(x)=15x^2+9x-6[/tex]
We can conclude that the function is quadratic, also:
[tex]15x^2[/tex] is the quadratic term
[tex]9x[/tex] is the linear term
[tex]-6[/tex] is the constant term