Classifying Polynomials

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 is the degree of a polynomial defined?

Back

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

Front

Classify the polynomial: 4x^5 + 3x^3 - 2x + 7

Back

This polynomial is classified as a polynomial of degree 5.

Front

What is a constant polynomial?

Back

A constant polynomial is a polynomial of degree 0, which has no variable term, such as 5 or -3.

Front

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

Back

This polynomial is classified as a quadratic polynomial.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 5x or -3x^2.

Front

Classify the polynomial: 7x^4 + 2x^2 - 5

Back

This polynomial is classified as a polynomial of degree 4.

Front

What is a trinomial?

Back

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

Front

Classify the polynomial: 9x^3

Back

This polynomial is classified as a monomial of degree 3.

Front

What is the difference between a binomial and a trinomial?

Back

A binomial is a polynomial with exactly two terms, while a trinomial has exactly three terms.