Polynomial Key Features

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 leading coefficient of a polynomial?

Back

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

Front

How does the sign of the leading coefficient affect the end behavior of a polynomial?

Back

If the leading coefficient is positive, the polynomial will rise to the right; if negative, it will fall to the right.

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 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 up or both ends down), while odd degree polynomials have opposite end behavior (one end up and one end down).

Front

What are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power.

Tags

CCSS.6.EE.A.2B

Front

How do you combine like terms in a polynomial expression?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same.

Tags

CCSS.7.EE.A.1

Front

What is the range of a polynomial function?

Back

The range of a polynomial function is the set of all possible output values (y-values) that the function can produce.

Front

What is the domain of a polynomial function?

Back

The domain of a polynomial function is all real numbers, as polynomials are defined for every real number input.

Front

What is the significance of the constant term in a polynomial?

Back

The constant term is the value of the polynomial when the variable is zero; it represents the y-intercept of the graph.