At first glance, it might be tempting to say this is a linear function, because we see linear terms (3x and –6x); however, these are multiplied together, so it's actually a quadratic.
We need to expand the function (hint: use FOIL) to identify the terms.
[tex]f(x)=(3x-4)(-6x+5)=-18x^2+39x-20[/tex]
The x^2-term, or quadratic term, is [tex]-18x^2[/tex]. The x-term, or linear term, is [tex]39x[/tex]. The number term, or constant term, is –20.
