HSC Extension One Maths Binomial Theorem Exam
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Important: These tests take time to write, if you’re in a position consider buying me a coffee so I can keep doing this in the long term.
Below is a skills checklist I wrote based on the syllabus, if you can do everything listed below you should be in a good position for both your school’s binomial theorem test and the binomial theorem questions in the HSC.
Understand the link between the coefficients of binomial expansions and Pascal’s triangle
Understand the link between binomial coefficients and combinations
Derive the binomial theorem
Use the binomial theorem to expand and simplify expressions
Use the binomial theorem to determine specific coefficients in an expansion
Prove identities using the binomial theorem