📚 Year 11 OCR Further Maths: Vocabulary and Terminology Quick Memorisation Guide | 11年级OCR进阶数学：词汇术语速记指南
Mastering the terminology of OCR Level 2 Further Mathematics is the first step to confident problem-solving. This guide breaks down key terms and concepts across all topics—algebra, inequalities, binomial expansion, coordinate geometry, trigonometry, calculus, matrices, functions, and vectors—with memory tricks to help you recall them quickly in the exam.
掌握OCR二级进阶数学的术语是自信解题的第一步。本指南分解了代数、不等式、二项式展开、坐标几何、三角学、微积分、矩阵、函数和向量等所有主题的关键术语和概念，并附有记忆技巧，助你在考试中快速回忆。
1. Algebraic Manipulation and Polynomials | 代数操作与多项式
Polynomial & degree: A polynomial is an expression of the form aₙxⁿ + aₙ₋₁xⁿ⁻¹ + … + a₁x + a₀, where the powers are non‑negative integers and aᵢ are coefficients. The degree is the highest power n. Linear (degree 1), quadratic (2), cubic (3).
多项式与次数：多项式是形如 aₙxⁿ + aₙ₋₁xⁿ⁻¹ + … + a₁x + a₀ 的表达式，其中指数为非负整数，aᵢ 为系数。次数指最高次幂 n。一次为线性，二次为二次式，三次为三次式。
Factor Theorem: For a polynomial f(x), if f(k)=0 then (x−k) is a factor. This turns root‑finding into factorisation.
因式定理：对于多项式 f(x)，若 f(k)=0，则 (x−k) 为其因式。这样就可由根快速分解因式。
Remainder Theorem: When f(x) is divided by (x−a), the remainder equals f(a). Useful for evaluating remainders without long division.
余数定理：当 f(x) 除以 (x−a) 时，余数等于 f(a)。无需做长除法便能求余数。
Completing the square: Rewrite x
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