Factors of a Kind of Truncated Basic Hypergeometric Series

We prove a kind of truncated basic hypergeometric series contain the factor Phi n(q)2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Phi _n(q)<^>2$$\end{document}, where Phi n(q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Phi _n(q)$$\end{document} is the n-th cyclotomic polynomial. This generalizes a recent result of Cao, Guo and Yu.