Relations and Functions — Unit test Answers

What is the missing coefficient? =

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

Which expression is equivalent to ?

One root of is x = 2. What are all the roots of the function? Use the Remainder Theorem.

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?

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

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

What is the factored form of ?

What is the cube root of ?

What expression is equivalent to ?

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 product?

A student factors 10x2 + 3x – 27 to the following. (2x – 3)(5x + 9) Which statement about (2x – 3)(5x + 9) is true?

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

What is the difference of the polynomials?

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?

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

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?

What is the completely factored form of p4 – 16?