Module C Outcome 7 Polynomial Key Features

Front

What is a polynomial?

Back

Front

What are the key features of a polynomial function?

Back

Key features of a polynomial function include its degree, leading coefficient, zeros (roots), y-intercept, and end behavior.

Front

How do you determine the degree of a polynomial?

Back

Front

What is the leading coefficient of a polynomial?

Back

Front

What are the zeros of a polynomial?

Back

Front

What is the y-intercept of a polynomial function?

Back

Front

How does the end behavior of a polynomial function relate to its degree?

Back

The end behavior of a polynomial function is determined by its leading term. If the degree is even, both ends of the graph will point in the same direction. If the degree is odd, the ends will point in opposite directions.

Front

What is the significance of the multiplicity of a root?

Back

The multiplicity of a root indicates how many times that root is repeated in the polynomial. A root with an even multiplicity will touch the x-axis, while a root with an odd multiplicity will cross the x-axis.

Front

How can you factor a polynomial?

Back

To factor a polynomial, you can look for common factors, use the difference of squares, or apply techniques like grouping or synthetic division.

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.