5 Questions
What form do the terms take in the expansion of (x + y)^n?
$ax^by^c$ where $b + c = n$
What does the binomial theorem describe?
Algebraic expansion of powers of a binomial
What is the binomial coefficient $\binom{n}{b}$ also known as?
$\binom{n}{c}$
What does $\binom{n}{b}$ represent in combinatorics?
The number of different combinations of $b$ elements that can be chosen from an $n$-element set
What is another common way of pronouncing $\binom{n}{b}$?
"$n$ choose $b$"
Test your knowledge of the binomial theorem with this quiz. Explore the expansion of binomials and the coefficients of each term in the polynomial. See if you can master the algebraic manipulation of powers in this fundamental theorem of elementary algebra.
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