(a)[3]
Determine the quotient when $4x^3 + 17x^2 + 9x$ is divided by $x^2 + 5x + 6$, and show that the remainder is $18$.
(b)[3]
Hence solve the equation $4x^3 + 17x^2 + 9x - 18 = 0$.
Mathematics 9709 · AS & A Level · Algebra
Mathematics 9709 · AS & A Level · Algebra
Determine the quotient when $4x^3 + 17x^2 + 9x$ is divided by $x^2 + 5x + 6$, and show that the remainder is $18$.
Hence solve the equation $4x^3 + 17x^2 + 9x - 18 = 0$.