Let $f$ be a transcendental meromorphic function on $\mathbb C, k$ be a positive integer, and $Q_0,Q_1,\dots,Q_k$ be polynomials in $\mathbb C[z]$. In this paper, we will prove that the frequency of distinct poles of $f$ is governed by the frequency of zeros of the differential polynomial form $Q_0(f)Q_1(f^\prime)\dots Q_k(f^{(k})$ in $f$. We will also prove that the Nevanlinna defect of the differential polynomial form $Q_0(f)Q_1(f^\prime)\dots Q_k(f^{(k})$ in $f$ satisfies $$\sum\limits_{a\in\mathbb{C}}\delta\left( a,Q_{0}(f)Q_{1}(f^{\prime}){\dots} Q_{k}\left( f^{(k)}\right)\right)\leq 1$$ with suitable conditions on $k$ and the degree of the polynomials. Thus, our work is a generalization of Mues’s conjecture and Goldberg’s conjecture for the more general differential polynomials.