Unit Test — Unit test Answers

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

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 missing coefficient? =

What is the difference of the polynomials?

Which statement about the simplified binomial expansion of (a – b)n, where a, b and n are positive integers, is true?

What is the completely factored form of p4 – 16?

What expression is equivalent to ?

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?

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

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

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

What is the product?

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?

Which expression represents the sixth term in the binomial expansion of (5y + 3)10?

The volume of a cylinder is given by the formula , where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x + 8) and height (2x + 3). Which expression represents the volume of the can?

Which expression is equivalent to ?

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

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

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