(i)[5]
Find the values for $a$ and $b$.
(ii)[3]
Hence factorise $p(x)$ fully.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
The polynomial $p(x)$ has the form $p(x) = 5x^3 + ax^2 + bx - 16$, with $a$ and $b$ as constants. It is known that $(x - 2)$ divides $p(x)$ exactly and that the remainder is $27$ when $p(x)$ is divided by $(x + 1)$.