Classify Polynomials by Degree

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients, combined using addition, subtraction, and multiplication.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

How do you determine the degree of a polynomial with multiple terms?

Back

To determine the degree of a polynomial with multiple terms, identify the highest exponent of the variable among all the terms.

Front

What is the degree of the polynomial 3x^5 + 2x^3 - x + 7?

Back

The degree of the polynomial is 5.

Front

What is the degree of the polynomial 4x^2 - 5x + 1?

Back

The degree of the polynomial is 2.

Front

What is the degree of a constant polynomial, such as 7?

Back

The degree of a constant polynomial is 0.

Front

What is the degree of the polynomial 0?

Back

The degree of the polynomial 0 is undefined.

Front

Classify the polynomial 2x^4 + 3x^2 - 1 by its degree.

Back

The polynomial is classified as degree 4.

Front

What is the degree of the polynomial x^3 + 2x^2 + 5x + 4?

Back

The degree of the polynomial is 3.

Front

How do you classify a polynomial of degree 1?

Back

A polynomial of degree 1 is called a linear polynomial.