Polynomial 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 expression.

Front

What is the leading coefficient of a polynomial?

Back

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

Front

What does the end behavior of a polynomial describe?

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 find the range of a polynomial function?

Back

To find the range of a polynomial function, analyze the function's critical points and end behavior to determine the set of possible output values.

Front

What is the difference between a polynomial and a rational function?

Back

A polynomial is a function that consists only of non-negative integer powers of x, while a rational function is a ratio of two polynomials.

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.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign and then combine like terms.

Front

What is a zero of a polynomial?

Back

A zero of a polynomial is a value of x that makes the polynomial equal to zero.