Chapter 4 Part 1 Unit TEST: Polynomial Functions Answers

What expression is equivalent to ?

What is the factored form of ?

A cube with side length is stacked on another cube with side length . What is the total volume of the cubes in factored form?

What is the completely factored form of p4 – 16?

What is the product?

What is the completely factored form of x2 – 16xy + 64y2?

If (x – 2k) is a factor of f(x), which of the following must be true?

The price that a company charged for a basketball hoop is given by the equation where x is the number of hoops that are produced, in millions. It costs the company $30 to make each basketball hoop. The company recently reduced its production to 1 million hoops but maintained its profit of 15 million dollars. Approximately how many basketball hoops did the company previously produce to make the same profit?

A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2a inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

Randy divides (2x4 – 3x3 – 3x2 + 7x – 3) by (x2 – 2x + 1) as shown below. What error does Randy make?

Which expression is equivalent to ?

If f(–2) = 0, what are all the factors of the function ? Use the Remainder Theorem.

What is the cube root of ?

Which expression is a sum of cubes?

What is the difference of the polynomials?

What is the quotient of (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?

What is the remainder when (x4 + 36) is divided by (x2 – 8)?

Use synthetic division to solve (x4 – 1) ÷ (x – 1). What is the quotient?

Which statement about –2h2 – 15h – 7 is true?