All topicsSequences & SeriesThe binomial theorem
Grade 12 · Free practice
The binomial theorem
Expand (a + b)^n with Pascal's triangle or combinations and find a single term.
Try it: three questions
Real questions from the practice bank. Tap an answer to check it.
Question 1 of 3
Expand (2x - 3)4 and identify the coefficient of x2.
Question 2 of 3
Expand (2x − 3)⁴ and find the coefficient of x².
Question 3 of 3
Find the coefficient of x³ in the expansion of (3x + 2)⁵.
How this fits in
The binomial theorem is one skill in the Sequences & Series unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.
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