Unit Test — Unit test Answers

What is the simplest form of ?

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?

Which expression is equivalent to ?

Which expression is equivalent to ? Assume and .

What is the completely factored form of p4 – 16?

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 difference of the polynomials?

Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?

Which expression is equivalent to ?

Which expression is equivalent to ?

What expression is equivalent to ?

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

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

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

What is the missing coefficient? =

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

What is the product?

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

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