Polynomial Functions Vocabulary Review

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 the degree of a polynomial?

Back

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

Front

What does the leading coefficient of a polynomial indicate?

Back

The leading coefficient is the coefficient of the term with the highest degree, and it affects the end behavior of the polynomial.

Front

What is the end behavior of a polynomial?

Back

The end behavior of a polynomial describes how the values of the polynomial behave as the input approaches positive or negative infinity.

Front

How do you determine the number of roots of a polynomial?

Back

The number of roots of a polynomial is determined by its degree; a polynomial of degree n can have up to n roots.

Front

What is the difference between even and odd degree polynomials in terms of end behavior?

Back

Even degree polynomials have the same end behavior (both ends go up or both go down), while odd degree polynomials have opposite end behavior (one end goes up and the other goes down).

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms.

Front

What is the standard form of a polynomial?

Back

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