(i)[2]
Determine the value of $a$.
(ii(a))[2]
Once $a$ has this value, factorise $p(x$.
(ii(b))[3]
Solve the inequality $p(x) > 0$, and justify your answer.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Let $p(x)$ represent the polynomial $4x^3 + ax + 2$, where $a$ is a constant. It is stated that $(2x + 1)$ is a factor of $p(x)$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Put $x=-\frac12$ and make the expression equal to zero, or divide by $(2x+1)$ and make the constant remainder equal to zero” …
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