Constant Polynomial

A constant polynomial is a polynomial of degree 0. It is a polynomial function of the form:

P(x) = c

Where c is a constant value. In other words, a constant polynomial is a polynomial that does not contain any variable terms, only a constant term.

Properties of Constant Polynomials

1. Degree: The degree of a constant polynomial is always 0.

2. Graph: The graph of a constant polynomial is a horizontal line with the equation y = c, where c is the constant value.

3. Roots: A constant polynomial has no roots, unless the constant value is 0, in which case it has infinite roots.

Examples

Example 1: P(x) = 5

This is a constant polynomial with the constant value 5. Its graph is a horizontal line at y = 5.

Example 2: Q(x) = -2

This is another constant polynomial with the constant value -2. Its graph is a horizontal line at y = -2.

Study Guide

When working with constant polynomials, remember the following key points:

• Constant polynomials have a degree of 0.
• They only contain a single constant term.
• Their graphs are horizontal lines with the equation y = c.
• They have no roots, unless the constant value is 0.

Practice identifying constant polynomials and understanding their properties to become proficient in working with them.