Classifying Polynomials #2

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

How do you classify a polynomial by degree?

Back

Polynomials are classified by the highest power of the variable. For example, a polynomial of degree 1 is linear, degree 2 is quadratic, degree 3 is cubic, and so on.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 5x or 3.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as 2x + 3 or x^2 - 4.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as x^2 + 2x + 1.

Front

What is a constant polynomial?

Back

A constant polynomial is a polynomial that does not contain any variables, such as 7 or -3.

Front

How do you classify a polynomial with one term?

Back

A polynomial with one term is classified as a monomial.

Front

How do you classify a polynomial with two terms?

Back

A polynomial with two terms is classified as a binomial.

Front

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

Back

The degree of the polynomial is 3, as the highest power of x is 3.

Front

What is the degree of the polynomial 9x?

Back

The degree of the polynomial 9x is 1, making it a linear polynomial.