Polynomial Features

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (or indeterminates) raised to non-negative integer powers and coefficients, 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

What does the degree of a polynomial indicate?

Back

The degree of a polynomial indicates the highest power of the variable in the polynomial and determines the polynomial's end behavior.

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

What is the end behavior of a positive second degree polynomial?

Back

The end behavior of a positive second degree polynomial is 'up, up'.

Front

What is the end behavior of a positive third degree polynomial?

Back

The end behavior of a positive third degree polynomial is 'down, up'.

Front

What are the zeros of a polynomial?

Back

The zeros of a polynomial are the values of the variable that make the polynomial equal to zero.

Front

How do you find the zeros of a polynomial?

Back

To find the zeros of a polynomial, set the polynomial equal to zero and solve for the variable.

Front

What is the difference between even and odd degree polynomials?

Back

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

Front

What is a positive leading coefficient?

Back

A positive leading coefficient means that the term with the highest degree in the polynomial has a positive value, affecting the end behavior of the polynomial.