| Exam Board | AQA |
|---|---|
| Module | AS Paper 2 (AS Paper 2) |
| Session | Specimen |
| Marks | 1 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Factor & Remainder Theorem |
| Type | Single unknown constant |
| Difficulty | Easy -1.8 This is a straightforward 1-mark multiple choice question requiring only direct application of the factor theorem: substitute x=3 into p(x), set equal to zero, and solve for a. It's a routine recall question with no problem-solving element and the multiple choice format makes it easier than average. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
| Answer | Marks | Guidance |
|---|---|---|
| 1 | Circles correct answer | AO1.1b |
| Total | 1 |
Question 1:
1 | Circles correct answer | AO1.1b | B1 | 9
Total | 1$p(x) = x^3 - 5x^2 + 3x + a$, where $a$ is a constant.
Given that $x - 3$ is a factor of $p(x)$, find the value of $a$
Circle your answer.
[1 mark]
$-9$ \quad\quad $-3$ \quad\quad $3$ \quad\quad $9$
\hfill \mbox{\textit{AQA AS Paper 2 Q1 [1]}}