| Exam Board | WJEC |
|---|---|
| Module | Unit 1 (Unit 1) |
| Year | 2018 |
| Session | June |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Factor & Remainder Theorem |
| Type | Two factors given |
| Difficulty | Moderate -0.8 This is a straightforward application of the factor theorem requiring students to substitute x=2 and x=-2 to create two simultaneous equations, then solve for p and q. Part (b) follows directly by factoring or polynomial division. It's routine with clear structure and standard technique, making it easier than average but not trivial since it requires solving simultaneous equations and completing the factorization. |
| Spec | 1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
Given that $( x - 2 )$ and $( x + 2 )$ are factors of the polynomial $2 x ^ { 3 } + p x ^ { 2 } + q x - 12$,
a) find the values of $p$ and $q$,\\
b) determine the other factor of the polynomial.
\hfill \mbox{\textit{WJEC Unit 1 2018 Q8}}