(a)[3]
Determine the quotient on dividing $p(x)$ by $(3x + 2)$ and show that the remainder is $(k - 8)$.
(b)[6]
You are told that $\int_1^6 \frac{p(x)}{3x + 2}\,dx = a + \ln 64$, where $a$ is an integer. Determine $a$ and $k$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The polynomial $p(x)$ has been defined as $p(x) = 9x^3 + 6x^2 + 12x + k$, with $k$ a constant.