BINOMIAL

Definition Of Binomial

Binomial is an algebraic expression (or a polynomial) containing two terms that are not like terms

Examples of Binomial

6x − 3 and 2t − 5 are two examples of binomials.
They contain each two terms that are not like terms.

Video Examples: Binomial Example

Solved Example on Binomial

Ques: What is the area of a rectangle that is 2x + 3 units long and x units wide?

Choices:

A. 3x
B. 2x + 3
C. 2x² + 3x
D. 3x + 3
Correct Answer: C

Solution:

Step 1: The area of a rectangle is found by multiplying the length and the width
Step 2: The area of the rectangle in its simplified form is a binomial
x(2x + 3) = 2x² + 3x

Quick Summary

Binomials consist of two terms.
The two terms in a binomial are not like terms.

\[ ax + b \]

🍎 Teacher Insights

Emphasize the difference between like and unlike terms. Use visual aids and real-world examples to illustrate binomials.

🎓 Prerequisites

Algebraic Expressions
Terms
Like Terms
Polynomials

Check Your Knowledge

Q1: Which of the following is a binomial?

A. 5x B. 3x + 2y C. 7 D. x^2 + 2x + 1

Q2: Which expression represents the area of a rectangle with length (2x + 3) and width x?

A. 3x B. 2x + 3 C. 2x^2 + 3x D. 3x + 3

Frequently Asked Questions

Q: What is the difference between a binomial and a polynomial?
A: A binomial is a polynomial with exactly two terms, while a polynomial can have any number of terms.

Q: Can a binomial have like terms?
A: No, by definition, the terms in a binomial must be unlike terms.