CCEA AS Mathematics (Pure) – Study Guide & Practice Questions
Quadratic Formula - correct answer ✔✔x = -b ± √(b² - 4ac)/2a
no real roots - correct answer ✔✔b²-4ac<0
two distinct real roots - correct answer ✔✔b²-4ac>0
equal roots - correct answer ✔✔b² - 4ac = 0
Gradient Equation - correct answer ✔✔(y2-y1)/(x2-x1)
distance equation - correct answer ✔✔square root of (x2-x1)^2+(y2-y1)^2
Mid Point - correct answer ✔✔(x1+x2/2 , y1+y2/2)
binomial expansion - correct answer ✔✔(a + b)ⁿ = (ⁿCᵣ)(aⁿ⁻¹bʳ)
(a + b)ⁿ = aⁿ + (ⁿC₁)(aⁿ⁻¹b) + (ⁿC₂)(aⁿ⁻²b²) + ... + (ⁿCᵣ)(aⁿ⁻ʳbʳ) + ... + bⁿ
Quadratic Formula - correct answer ✔✔x = -b ± √(b² - 4ac)/2a
no real roots - correct answer ✔✔b²-4ac<0
two distinct real roots - correct answer ✔✔b²-4ac>0
equal roots - correct answer ✔✔b² - 4ac = 0
Gradient Equation - correct answer ✔✔(y2-y1)/(x2-x1)
distance equation - correct answer ✔✔square root of (x2-x1)^2+(y2-y1)^2
Mid Point - correct answer ✔✔(x1+x2/2 , y1+y2/2)
binomial expansion - correct answer ✔✔(a + b)ⁿ = (ⁿCᵣ)(aⁿ⁻¹bʳ)
(a + b)ⁿ = aⁿ + (ⁿC₁)(aⁿ⁻¹b) + (ⁿC₂)(aⁿ⁻²b²) + ... + (ⁿCᵣ)(aⁿ⁻ʳbʳ) + ... + bⁿ
