II. ALGEBRA OR GEOMETRY.
(a) Algebra.
The full working must be shown in all cases.
1. If 2p - 3q = 8, ½q = p - 6, find the value of
(p - q)² - 7(p² - q²) + 12(p + q)².
2. Divide
x⁶ + ax⁵ - 12a²x⁴ + 19a³x³ + 15a⁴x² - 14a⁵x + 2a⁶
by
x² + 4ax - 2a².
3. Find the highest common factor of