(a)[3]
Find the quotient when $p(x)$ is divided by $(x^2 + 3)$, and show that the remainder is $-11$.
(b)[3]
Hence determine the real roots of the equation $p(x) + 11 = 0$. Give your answers in exact form.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
The polynomial $p(x)$ is given by $p(x) = x^4 - 10x^3 + 20x^2 - 30x + 40$.