| Exam Board | WJEC |
|---|---|
| Module | Unit 3 (Unit 3) |
| Year | 2022 |
| Session | June |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Factor & Remainder Theorem |
| Type | Find factor then solve |
| Difficulty | Moderate -0.5 This is a straightforward application of the factor theorem requiring students to recognize that the numerator must equal zero, factor out common terms (x²), then use the given factor (3x+2) to reduce the cubic. The algebraic manipulation is routine and the question clearly signposts the approach by providing the denominator as a factor. |
| Spec | 1.02f Solve quadratic equations: including in a function of unknown1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
Solve the equation
$$\frac { 6 x ^ { 5 } - 17 x ^ { 4 } - 5 x ^ { 3 } + 6 x ^ { 2 } } { ( 3 x + 2 ) } = 0$$
\hfill \mbox{\textit{WJEC Unit 3 2022 Q10}}