Constant Polynomials

A constant polynomial is a polynomial of degree 0. This means that all the terms in the polynomial have a degree of 0. The general form of a constant polynomial is:

f(x) = c

Where c is a constant number. Since the degree of all the terms is 0, the graph of a constant polynomial is a horizontal line. The value of c determines the y-intercept of the graph.

Properties of Constant Polynomials

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

2. The graph of a constant polynomial is a horizontal line.

3. The y-intercept of the graph is the constant term, c.

Example

Consider the constant polynomial f(x) = 5. The graph of this polynomial is a horizontal line passing through the point (0, 5).

Study Guide

Here are some key points to remember about constant polynomials:

1. The degree of a constant polynomial is always 0.
2. The graph of a constant polynomial is a horizontal line.
3. The y-intercept of the graph is the constant term, c.

Practice Questions:

1. Identify the constant polynomials among the following: f(x) = 2x + 3, g(x) = 7, h(x) = -4x^2 + 1.
2. Graph the constant polynomial f(x) = -3 and find its y-intercept.
3. Determine the degree of the constant polynomial p(x) = 9.

Remember to simplify and evaluate constant polynomials to reinforce your understanding of the topic.