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

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

Back

This polynomial is classified as a quartic polynomial because its highest degree is 4.

Front

What is the degree of the polynomial: 2x^3 + 4x^2 - x + 7?

Back

The degree of the polynomial is 3, which is the highest exponent of the variable.

Front

Define a monomial.

Back

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

Front

Define a binomial.

Back

A binomial is a polynomial with exactly two terms, such as x + 5.

Front

Define a trinomial.

Back

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

Front

What is the sum of the polynomials: (x^2 + 2x) + (3x^2 - x)?

Back

The sum is 4x^2 + x.

Front

How do you classify the polynomial: 7x^5 + 2x^3 - 4x + 1?

Back

This polynomial is classified as a quintic polynomial because its highest degree is 5.

Front

What is the leading coefficient of the polynomial: 4x^3 - 2x^2 + 3?

Back

The leading coefficient is 4, which is the coefficient of the term with the highest degree.

Front

What is a cubic polynomial?

Back

A cubic polynomial is a polynomial of degree 3, such as x^3 - 2x + 1.