數學2 – C05 多項式（試用）
對應大綱的内容
MM1.6 → Algebraic manipulation of polynomials, including:
a. expanding brackets and collecting like terms
b. factorisation and simple algebraic division by a linear polynomial, including those of the form $ax+b$, and by quadratics, including those of the form $ax^2+bx+c$
c. use of the Factor Theorem and the Remainder Theorem
MM8.6 → Use algebraic techniques to determine where the graph of a function intersects the coordinate axes; appreciate the possible numbers of real roots that a general polynomial can possess
學習目標
- Expand, collect, and factorise complex polynomial expressions.
- Perform algebraic division of polynomials by linear divisors, including those of the form $ax+b$, and quadratic divisors, including those of the form $ax^2+bx+c$.
- Understand and expertly apply the Factor Theorem to deduce linear and quadratic factors, and to identify the roots of higher-degree polynomials.
- Understand and apply the Remainder Theorem to evaluate the remainders of algebraic division and deduce unknown polynomial coefficients.
- Determine the exact intersections between polynomial graphs and the coordinate axes using purely algebraic techniques.
建議時間
| Task | No. of Questions | Suggested Time |
|---|---|---|
| Examples | 11 | 220 min |
| Quiz | 8 | 20 min |
| Practice A | 14 | 40 min |
| Practice B | 16 | 60 min |
| Total | 49 | approx. 5-6 hrs |
視像課程（英語）:
Video Lecture (Mandarin):
練習題集:
練習題集:
