What is the Binomial Theorem?


Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

What is a binomial?

Create Your Account To Take This Quiz

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Try it risk-free
Try it risk-free for 30 days. Cancel anytime
Already registered? Log in here for access

1. Which of the following lists of numbers shows the coefficients for (x + 1)4 using Pascal's triangle?

2. Which of the following is the correct expansion of the expression below? (Hint: Use the FOIL method)

Create your account to access this entire worksheet
A Premium account gives you access to all lesson, practice exams, quizzes & worksheets
Access to all video lessons
Quizzes, practice exams & worksheets
Certificate of Completion
Access to instructors
Create an account to get started Create Account

About This Quiz & Worksheet

Familiarity with binomial theorem can help you do well in algebra, and this quiz/worksheet will help you test your understanding of its application as well as related terms.

Quiz & Worksheet Goals

In these assessments you'll be tested on:

  • Binomials
  • The binomial theorem
  • FOIL
  • Trinomials

Skills Practiced

This quiz and worksheet allow students to test the following skills:

  • Defining key concepts - ensure that you can accurately define trinomials and binomials
  • Distinguishing differences - compare and contrast binomials and trinomials
  • Information recall - access the knowledge you've gained regarding FOIL
  • Reading comprehension - ensure that you draw the most important information from the lesson on the binomial theorem

Additional Learning

To learn more about the binomial theorem, review the accompanying lesson, What is the Binomial Theorem? This lesson covers the following objectives:

  • Familiarize yourself with the components of the binomial theorem
  • Understand what constitutes binomial expansion
  • Define term, variable and coefficient
  • Know why the binomial theorem is useful
  • Understand how to find the coefficient and exponents for each term in a problem
  • Work through examples of binomial theorem application