1. Pure Algebra

Binomial Theorem — Quiz

Test your understanding of binomial theorem with 5 practice questions.

Practice Questions

Question 1

What is the coefficient of the $x^3$ term in the expansion of $(1 + 2x)^5$?

Question 2

For what values of $x$ is the binomial expansion of $(1 - 3x)^{-1}$ valid?

Question 3

What is the coefficient of the $x^2$ term in the expansion of $(1 + x)(1 - x)^{-2}$?

Question 4

If the coefficient of $x$ in the expansion of $(1+ax)^4$ is $24$, what is the value of $a$?

Question 5

What is the term independent of $x$ in the expansion of $(x^2 - \frac{1}{x})^3$?