  In this work, the explicit expressions of coefficients involved in quasi-type
kernel polynomials of order one and quasi-Geronimus polynomials of order one
are determined for Jacobi polynomials. These coefficients are responsible for
establishing the orthogonality of quasi-spectral polynomials for Jacobi
polynomials. Additionally, the orthogonality of quasi-type kernel Laguerre
polynomials of order one is derived. In the process of achieving orthogonality,
one zero in both cases is located on the boundary of the support of the
measure. This allows us to derive the chain sequence and minimal parameter
sequence at the point lying at the end point of the support of the measure.
Also, this leads to the question of characterizing such spectrally transformed
polynomials.
  Furthermore, the interlacing properties among the zeros of quasi-spectral
orthogonal Jacobi polynomials and Jacobi polynomials are illustrated.
