Ch7 Review - Polynomial Functions

Front

What is the end behavior of a polynomial with a negative leading coefficient and even degree?

Back

As x approaches positive or negative infinity, the polynomial approaches positive infinity.

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Back

Front

What is the maximum number of turning points for a polynomial function of degree n?

Back

The maximum number of turning points is n - 1.

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Back

Front

Back

No, -3 is not a possible zero because it does not satisfy the polynomial.

Front

What does the leading coefficient of a polynomial determine?

Back

It determines the end behavior of the polynomial.

Front

How do you find the zeros of a polynomial function?

Back

Set the polynomial equal to zero and solve for x.

Front

What is the significance of the degree of a polynomial?

Back

The degree indicates the highest power of x and determines the polynomial's end behavior and number of turning points.

Front

What is a turning point in a polynomial function?

Back

A turning point is where the function changes direction from increasing to decreasing or vice versa.

Front

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

Back

A polynomial of degree n can have at most n real roots.