(i)[3]
Since $(x + 2)$ is a factor of $4x^3 + ax^2 - (a + 1)x - 18$, determine the value of the constant $a$.
(ii)[3]
When $a$ takes this value, factorise $4x^3 + ax^2 - (a + 1)x - 18$ completely.
Mathematics 9709 · AS & A Level · Algebra
Since $(x + 2)$ is a factor of $4x^3 + ax^2 - (a + 1)x - 18$, determine the value of the constant $a$.
When $a$ takes this value, factorise $4x^3 + ax^2 - (a + 1)x - 18$ completely.
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Put $x = -2$ into the expression and make it equal to zero” …