  A second order polynomial sequence is of Fibonacci type (Lucas type) if its
Binet formula is similar in structure to the Binet formula for the Fibonacci
(Lucas) numbers. In this paper we generalize identities from Fibonacci numbers
and Lucas numbers to Fibonacci type and Lucas type polynomials. A Fibonacci
type polynomial is equivalent to a Lucas type polynomial if they both satisfy
the same recurrence relations. Most of the identities provide relationships
between two equivalent polynomials. In particular, each type of identities in
this paper relate the following polynomial sequences: Fibonacci with Lucas,
Pell with Pell-Lucas, Fermat with Fermat-Lucas, both types of Chebyshev
polynomials, Jacobsthal with Jacobsthal-Lucas and both types of Morgan-Voyce.
