*AA C&C Unit 4 (Modeling Polynomial Functions) TEST

Front

What is the End Behavior of a polynomial function?

Back

The End Behavior describes how the values of a polynomial function behave as x approaches positive or negative infinity. It is determined by the leading term of the polynomial.

Front

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

Back

The maximum number of turning points for a polynomial function of degree n is n-1.

Front

Define a relative minimum in the context of polynomial functions.

Back

A relative minimum is a point on the graph of a polynomial function where the function value is lower than the values of the function at nearby points.

Front

What is the significance of the leading coefficient in a polynomial function?

Back

The leading coefficient determines the direction of the graph's end behavior. If it is positive, the graph rises to the right; if negative, it falls to the right.

Front

How do you find the x-intercepts of a polynomial function?

Back

To find the x-intercepts, set the polynomial equal to zero and solve for x.

Front

What is the relationship between the degree of a polynomial and the number of x-intercepts?

Back

A polynomial of degree n can have at most n real x-intercepts.

Front

Explain the concept of polynomial long division.

Back

Polynomial long division is a method used to divide a polynomial by another polynomial, similar to numerical long division.

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that when a polynomial f(x) is divided by (x - c), the remainder is f(c).

Front

Define the term 'turning point' in polynomial functions.

Back

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

Front

What is the Fundamental Theorem of Algebra?

Back

The Fundamental Theorem of Algebra states that every non-constant polynomial function has at least one complex root.