CONSTANT TERM

Constant Term

Definition Of Constant Term

The Constant Term in an expression or equation has a fixed value and does not contain variables.

Example of Constant Term

The constant term in the equation 6x² - 3x + 5 is 5.

Video Examples: Find constant term binomial

Solved Example on Constant Term

Ques: Choose the value of the constant term in the expression, - 12x² + 5x +1.

Choices:

A. 5
B. 1
C. 0
D. - 12
Correct Answer: B

Solution:

Step 1: - 12x² + 5x +1. [Original expression.]
Step 2: The Constant Term in an algebraic expression or equation has a fixed value and does not contain variables.
Step 3: Therefore, 1 is the constant term in the expression, - 12x² + 5x +1.

Quick Summary

A constant term is a numerical value without any variables.
It remains the same regardless of the values of the variables.

\[ c \]

🍎 Teacher Insights

Emphasize the difference between constant terms and coefficients. Use various examples to illustrate constant terms in different expressions and equations.

🎓 Prerequisites

Variables
Expressions
Equations

Check Your Knowledge

Q1: Which of the following is the constant term in the expression 4y - 9?

A. 4 B. y C. -9 D. 0

Q2: What is the constant term in the expression -2x^2 + 5x + 1?

A. -2 B. 5 C. x D. 1

Frequently Asked Questions

Q: What is the constant term in the expression 3x + 5?
A: The constant term is 5, as it's the numerical value without a variable.

Q: Can a constant term be negative?
A: Yes, a constant term can be negative. For example, in the expression 2x - 7, the constant term is -7.