Unit Test — Unit test Answers

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

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

Which expression is a sum of cubes?

What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve.

Which statement describes the graph of this polynomial function?

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

Which equation is quadratic in form?

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 cube root of ?

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.

What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations.

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?

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

Which of the following describes the roots of the polynomial function ?

According to the Rational Root Theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?

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

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?

Which statement best describes the equation (x + 5)2 + 4(x + 5) + 12 = 0?

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

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?