ZIMSEC · Form 5 · Lower 6
Further Mathematics
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- Roots of polynomial equations For ax² + bx + c = 0 with roots α, β: α + β = −b/a; αβ = c/a.
- Rational functions and curve sketching For y = f(x) as a quotient, rearrange into a quadratic in x and use the discriminant ≥ 0 to find values y cannot take.
- Series and proof by induction Σr = n(n + 1)/2; Σr² = n(n + 1)(2n + 1)/6; Σr³ = n²(n + 1)²/4.
- Matrices and linear transformations Addition, multiplication (not commutative), identity I, determinant and inverse.