Final answer:
The question revolves around a rational expression, where the main task is to address a specific statement related to polynomial division by t(x) = x - C. Additional information provided appears unrelated to the main problem, which focuses on understanding the division of polynomials and finding a value for 'C'.
Step-by-step explanation:
The student's question pertains to a rational expression, specifically asking for clarification on a statement regarding the expression p(x) given that p(x) = t(x)' p(x) = x⁴ + 5x³ + 5x² − 5x − 6 and t(x) = x - C. The provided additional information seems to be a mix of unrelated equations, possibly from physics or calculus contexts, and hence not directly usable to solve this problem. The task involves understanding polynomial division as well as possibly finding the non-permissible value for C that would make t(x) a divisor of p(x). If t(x) is to divide p(x) without a remainder, the value for C may be found by setting t(x) to zero and finding the x-value that is a root of p(x).