(i)[5]
Find the values of $a$ and $b$
(ii)[4]
Using these values of $a$ and $b$, confirm that $(x - 2)$ divides $p(x)$ and then factorise $p(x)$ fully.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
The polynomial $2x^3 + ax^2 + bx + 6$, with $a$ and $b$ as constants, is written as $p(x)$. It is stated that dividing $p(x)$ by $(x - 3)$ leaves a remainder of $30$, and dividing $p(x)$ by $(x + 1)$ leaves a remainder of $18$.