Classifying Polynomials

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, 2x^2 + 3x + 1 is a polynomial.

Front

What are the degrees of polynomials?

Back

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

Front

Classify the polynomial by degree: 2x – 9

Back

Linear (degree 1)

Front

Classify the polynomial by number of terms: 2x – 9

Back

Binomial (2 terms)

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 5x^2.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as 3x + 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 quadrinomial?

Back

A quadrinomial is a polynomial with exactly four terms, such as x^3 + x^2 + x + 1.

Front

Classify the polynomial by degree: 3x^3 – 6x

Back

Cubic (degree 3)

Front

Classify the polynomial by degree: 7x^3 – 8x^2 + 9

Back

Cubic (degree 3)