alegbra 2

The price that a company charged for a basketball hoop is given by the equation mc012-1.jpg 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?

A 1.3 million hoops

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

A 10C5(5y)5(3)5

Randy divides (2x4 - 3x3 - 3x2 + 7x - 3) by (x2 - 2x + 1) as shown below. What error does Randy make? mc025-1.jpg

A He makes a subtraction error.

Let a, b, and c be real numbers where a mc023-1.jpg b mc023-2.jpg c mc023-3.jpg 0. Which of the following functions could represent the graph below? mc023-4.jpg

A f(x) = x2(x - a)2(x - b)4(x - c)

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

A x3 - 6x2y + 12xy2 - 8y3

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

B 43,750x4

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 mc025-1.jpg 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.

B 5 inches

Which polynomial function has a leading coefficient of 2, root -4 with multiplicity 3, and root 10 with multiplicity 1?

B f(x) = 2(x + 4)(x + 4)(x + 4)(x - 10)

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

B x = -1 and x = 5

Use synthetic division to solve (x4 - 1) ÷ (x - 1). What is the quotient?

B x3 + x2 + x + 1

Which of the following is the complete list of roots for the polynomial function mc025-1.jpg?

C -2, -4, -3 + 2i, -3 - 2i

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

C 100

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

C 3x + 5

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

C One of the factors is (2h + 1).

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

D (x + 1)(2x - 3)(3x - 5)

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?

D f(x) has three real roots and two imaginary roots.