Linear Algebra Done Right (2nd edition): what's the meaning of the notation $\overline{q}(x)$ in equation 6.2?

Question

Linear Algebra Done Right: what's the meaning of the notation $\overline{q}(x)$ in equation 6.2: $\langle q,p\rangle=\int_{0}^1p(x)\overline{q}(x)\,dx$, where $p(x)$ and $q(x)$ are both polynomials of complex coefficients with degree at most $m$? If $q(x)=(a_1+b_1i)x+...+(a_m+b_mi)x^m$, does $\overline{q}(x)=(a_1-b_1i)x+...+(a_m-b_mi)x^m$?