Unit Test Review
If f(-5) = 0, what are all the factors of the function mc022-1.jpg? Use the Remainder Theorem.
(x - 2)(x + 5)(x - 3)
The graph of the parent function f(x) = x^3 is translated to form the graph of g(x) = (x + 5)^3 − 6. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?
(−5, -6)
Graph the function y=x^3+3x^2-1. Based on the graph, what is the least possible x-value if y=0? Round your answer to the nearest hundredth, if necessary.
-2.88
According to the Rational Root Theorem, the following are potential roots of f(x) = 6x^4 + 5x^3 - 33x^2 - 12x + 20. -5/2, -2, 1, 10/3. Which is an actual root of f(x)?
-5/2
The polynomial function f(x) = 3x^5 - 2x^2 + 7x models the motion of a roller coaster. The roots of the function represent when the roller coaster is at ground level. Which answer choice represents all potential values of when the roller coaster is at ground level? Begin by factoring x to create a constant term.
0, +- 1/3, +-1, +-7/3, +-7
If (x + k) is a factor of f(x), which of the following must be true?
f(-k) = 0
The parent function f(x) = x^3 and its translation, g(x), are shown on the graph. Which represents g(x), the translated function?
g(x) = (x - 5)^3 + 3
The area of a rectangle is (x^3 - 5x^2 + 3x - 15), and the width of the rectangle is (x^2 + 3). If area = length × width, what is the length of the rectangle?
x - 5
What are the solutions of the equation (x + 2)^2 - 2(x + 2) - 15 = 0? Use u substitution to solve.
x = -5 and x = 3
What are the solutions of the equation x^4 - 5x^2 - 36 = 0? Use factoring to solve.
x= +-2i and x= +-3
The price that a company charged for a computer accessory is given by the equation where x is the number of accessories that are produced, in millions. It costs the company $10 to make each accessory. The company currently produces 2 million accessories and makes a profit of 100 million dollars. What other number of accessories produced yields approximately the same profit?
1.45 million
What is the remainder when (3x^3 - 2x^2 + 4x - 3) is divided by (x^2 + 3x + 3)?
28x + 30
Which statement about the polynomial function g(x) is true?
If the leading coefficient of g(x) is 1, all rational roots of g(x) = 0 must be integers.
Anja divides (8x^3 - 36x^2 + 54x - 27) by (2x - 3) as shown below. What error does Anja make? mc026-1.jpg
She makes a multiplication error.
Which statement best describes the equation x^5 + x^3 - 14 = 0?
The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.
