(a)[5]
Determine the value of $a$ and hence factorise $p(x)$ completely.
(b)[2]
Hence determine the equation $p(e^{4y}) = 0$, giving your answer correct to 3 significant figures.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Logarithmic and exponential functions — practice question
The polynomial $p(x)$ is defined by $p(x) = ax^3 + 23x^2 - ax - 8$, where $a$ is a constant. You are told that $(2x + 1)$ is one factor of $p(x)$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Substitute $x=-\frac12$, set the result equal to zero and attempt to solve” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI