(i)[3]
Find the value of the constant $a$ if $(x + 2)$ is a factor of $4x^3 + ax^2 - (a + 1)x - 18$.
(ii)[3]
When $a$ takes this value, factorise $4x^3 + ax^2 - (a + 1)x - 18$ completely.
Mathematics 9709 · AS & A Level · Algebra
Find the value of the constant $a$ if $(x + 2)$ is a factor of $4x^3 + ax^2 - (a + 1)x - 18$.
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: “Substitute $x=-2$ into the expression and set it equal to zero” …