Classifying 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, along with coefficients. For example, 3x^2 + 2x - 5 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 - x + 7, the degree is 3.

Front

Classify the polynomial: 5x^4 + 3x^3 - 2x + 1

Back

Quartic (degree 4)

Front

Classify the polynomial: 2x^2 + 3x + 1

Back

Quadratic (degree 2)

Front

Classify the polynomial: 7x^3 - 4x + 2

Back

Cubic (degree 3)

Front

Classify the polynomial: 6x - 5

Back

Linear (degree 1)

Front

Classify the polynomial: 9

Back

Constant (degree 0)

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, 4x + 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.