Consider the following polynomial functions.

Consider the following polynomial functions. = (2 - 7 + )) and = (5 - ).

Which of the following statements about the polynomial functions are true? Select all that apply.

o The expression that represents the sum of the polynomials is a first-degree polynomial.

? The expression that represents the difference of the polynomials illustrates that polynomials are closed under subtraction.

? The sum of () and () can be represented by the expression ) + - 2.

o The difference of () and () can be represented by the expression ) + - 12.

? The product of () and () can be represented by the expression -. + 3) + 17 - 35.

Which of the following statements about closure is NOT true?

A Polynomials are closed under addition. B Polynomials are closed under subtraction. C Polynomials are closed under multiplication. D Polynomials are closed under division.

Robin says that polynomials are closed under division. Brad adamantly disagrees. Who is correct? Justify your answer.

Brad is correct. A counterexample that shows polynomials NOT closed under division is given below.

=

=

'

Arithmetic with Polynomials and Rational Expressions

Identify the zeros of the polynomial function = $ - 1 + 3 ( + 5). Show how you calculated

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the zeros in the space below. Then, use the zeros to sketch the graph of the function.

= 1, = -3, = -5

A skydiver is 760 meters above the ground when he opens his parachute. After opening the parachute, he descends at a constant speed of 17 meters per second.

Part A: What type of function would best model this situation? Explain your answer. A linear function because there is a constant rate of change. Part B: Write the equation that models this situation. = - , where represents the number of seconds after the parachute opens and represents the height of the parachute above the ground. Part C: Sketch the graph that models the function.

A Skydiver's Height with respect to Time

Number of seconds after parachute is

Height of the parachute, in

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