Graphing Polynomial Functions — Unit test Answers

Which table describes the behavior of the graph of f(x) = 2x3 – 26x – 24?

The side length, s, of a cube is x – 2y. If V = s3, what is the volume of the cube?

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

What is the fifth term in the binomial expansion of (x + 5)8?

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

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

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

Vanessa uses the expressions (3x2 + 5x + 10) and (x2 – 3x – 1) to represent the length and width of her patio. Which expression represents the area (lw) of Vanessa’s patio?

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

What is the product?

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?

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

A polynomial function has a root of –3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, and a root of 3 with multiplicity 2. If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?

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?

What is the completely factored form of f(x) = 6x3 – 13x2 – 4x + 15?

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11?

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

A polynomial function has a root of –6 with multiplicity 1, a root of –2 with multiplicity 3, a root of 0 with multiplicity 2, and a root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about the graph is true?

What is the difference of the polynomials?

What expression is equivalent to ?