請幫忙把下列數學名詞翻譯為中文
Principle of mathematical induction
1. Proof of identity
2. Proof of divisibility
Binomial theorem for positive integral indices
1. Expansion of Binomial
2. Find the coefficients in binomial expansion
3. Find the unknowns in some given terms
4. Trinomial
Quadratic equations and quadratic function
1. Solution of quadratic equation
2. Find extreme value by completing square
3. Determinant and nature of root
4. Sum and product of roots
5. Quadratic graph
Inequalities and Absolute Values
1. Solve simple inequalities
2. Solve rational inequalities
3. Absolute value and its applications
4. Solve quadratic equations involving absolute values
5. Solve inequalities involving absolute values
這裏只是part 1, 還有3部分, 有勞各位!