  A second order polynomial sequence is of \emph{Fibonacci-type}
(\emph{Lucas-type}) if its Binet formula has a structure similar to that for
Fibonacci (Lucas) numbers. Known examples of these type of sequences are:
Fibonacci polynomials, Pell polynomials, Fermat polynomials, Chebyshev
polynomials, Morgan-Voyce polynomials, Lucas polynomials, Pell-Lucas
polynomials, Fermat-Lucas polynomials, Chebyshev polynomials.
  The \emph{resultant} of two polynomials is the determinant of the Sylvester
matrix and the \emph{discriminant} of a polynomial $p$ is the resultant of $p$
and its derivative. We study the resultant, the discriminant, and the
derivatives of Fibonacci-type polynomials and Lucas-type polynomials as well
combinations of those two types. As a corollary we give explicit formulas for
the resultant, the discriminant, and the derivative for the known polynomials
mentioned above.
