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

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as x + 5 or 3x² - 2.

Front

What is a trinomial?

Back

A trinomial is a polynomial that contains exactly three terms, such as x² + 3x + 2.

Front

What is a monomial?

Back

A monomial is a polynomial that contains exactly one term, such as 4x³ or -7.

Front

What is the degree of a polynomial?

Back

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

Front

What is the leading coefficient?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What is a constant term in a polynomial?

Back

A constant term is a term in a polynomial that does not contain any variables, such as -7 in the polynomial 2x³ - 8x² + 3x - 7.

Front

What is the difference between a linear polynomial and a quadratic polynomial?

Back

A linear polynomial has a degree of 1 (e.g., 6x + 4), while a quadratic polynomial has a degree of 2 (e.g., x² - 5).

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms, from highest to lowest.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.