Characteristics of Polynomial

Front

What is a polynomial?

Back

Front

What is the degree of a polynomial?

Back

Front

What does it mean for a root to have a multiplicity?

Back

Front

How do you find the y-intercept of a polynomial?

Back

Front

What is the leading coefficient of a polynomial?

Back

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. For example, the range of a quadratic function that opens downwards is typically limited to values less than or equal to its vertex.

Front

What is a y-intercept?

Back

Front

What does it mean for a polynomial to be positive or negative?

Back

A polynomial is positive when its output values are greater than zero for a given range of x-values, and negative when its output values are less than zero.

Front

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

Back

The leading term determines the end behavior of the polynomial function. For example, if the leading term is positive and has an even degree, the graph will rise on both ends.

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.