Unit Test — Unit test Answers

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?

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?

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

A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of the new rectangular prism is 450 cubic inches. The equation can be used to find x. What was the side length of the original cube? Use a graphing calculator and a system of equations to find the answer.

Which expression is equivalent to ?

Carlos graphed the system of equations that can be used to solve .What are the roots of the polynomial equation?

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

The area of a rectangle, A = l • w is represented by the expression . Which could be the dimensions of the rectangle?

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

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

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?

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

Let a, b, and c be real numbers where a b c 0. Which of the following functions could represent the graph below?

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

What is the cube root of ?

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

Which expression is a sum of cubes?

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?

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

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