Unit Test — Unit test Answers

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

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

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

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

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

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 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?

The real roots for the equation x4 – x3 + 10x2 – 16x – 96 = 0 are –2 and 3. What are the nonreal solutions?

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

What expression is equivalent to ?

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

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?

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

What is the difference of the polynomials?

Which of the following is the complete list of roots for the polynomial function ?

On a coordinate plane, a curve goes through (negative 2, 0), (negative 1, 0), (0, negative 200), and (4, 0). All coordinates are approximate.

Which statement describes the graph of this polynomial function?

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.

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?

The real root of the equation x3 + 10x2 + 29x + 30 = 0 is –6. What are the nonreal solutions?