TAKE HOME!! *AA C&C FLASHCARD: Graphs of Polynomials (Parts 1-3)

Front

What is a polynomial function?

Back

Front

What are the zeros of a polynomial?

Back

Front

How do you find the zeros of a polynomial?

Back

Front

What is the end behavior of a polynomial function?

Back

Front

What does the leading coefficient of a polynomial indicate?

Back

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. It affects the end behavior of the polynomial function.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial expression. It determines the shape and number of zeros of the graph.

Front

What is the significance of the multiplicity of a zero?

Back

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

Front

How do you determine the number of turning points of a polynomial?

Back

The maximum number of turning points of a polynomial function is one less than its degree. For example, a polynomial of degree 4 can have up to 3 turning points.

Front

What is the relationship between the degree of a polynomial and the number of zeros?

Back

Front

What is a factored form of a polynomial?

Back