Characteristics of 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 are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 5x + 3x = 8x.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in 4x^3 + 2x^2 + 7, the degree is 3.

Front

What is a monomial?

Back

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

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as x + 5 or 3x^2 - 2.

Front

What is a trinomial?

Back

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

Front

What is the leading coefficient of a polynomial?

Back

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

Front

How do you find the degree of a monomial?

Back

The degree of a monomial is found by adding the exponents of all the variables in the term. For example, in 2x^3y^2, the degree is 3 + 2 = 5.

Front

What is a quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree 2, typically in the form ax^2 + bx + c.