Classifying Polynomials by Degree and Number of Terms

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. For example, 4x^3 - 5x^2 + 2x - 1 is a polynomial.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 4x^3 - 5x^2 + 2x - 1, the degree is 3.

Front

Classify the polynomial 4x^3 - 5x^2 + 2x - 1 by degree.

Back

The degree of the polynomial is 3.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term. For example, 3x^2 is a monomial.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms. For example, 3x + 5 is a binomial.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms. For example, x^2 + 3x + 2 is a trinomial.

Front

How do you determine the number of terms in a polynomial?

Back

Count the distinct terms separated by '+' or '-' signs. For example, in 4x^3 - 5x^2 + 2x - 1, there are four terms.

Front

What is the highest degree among terms in the polynomial 2x^4 + 3x^2 - x + 7?

Back

The highest degree is 4.

Front

What is the degree of the polynomial 2x^2 + 50?

Back

The degree is 2.

Front

Classify the polynomial 5x + 3 by the number of terms.

Back

It is a binomial.