Unit Test — Cumulative exam Answers

What is the quotient of (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?

The area of a rectangle is (x3 – 5x2 + 3x – 15), and the width of the rectangle is (x2 + 3). If area = length × width, what is the length of the rectangle?

If (x – 5) is a factor of f(x), which of the following must be true?

What are the solutions of the equation (x + 2)2 – 2(x + 2) – 15 = 0? Use u substitution to solve.

For what values of m does the graph of y = mx2 – 5x – 2 have no x-intercepts?

You can use a system of equations to graph and solve the polynomial equation . Which statement is true?

Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and noticed that it took her the same amount of time as it did to ride 3 miles with the wind. How fast was the wind blowing that day?

Harlon wrote the equation to find the area of a rectangle that has a length of and a width of 18. He solved for x and got Which of the following is an equivalent equation for x?

A local car wash is inviting customers to join the Concierge Club, in which you can have your car washed as many times as you wish for a fixed monthly fee. Amy creates the graph below to compare the cost per wash versus the cost for the Concierge Club. Which conclusion is supported by the graph?

If f(–5) = 0, what are all the factors of the function ? Use the Remainder Theorem.

If the discriminant of a quadratic equation is 4, which statement describes the roots?

If , which inequality can be used to find the domain of f(x)?

What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations.

The first term of a geometric sequence is –2 and the common ratio is . What are the next three terms of the sequence?

What is the explicit formula for the arithmetic sequence ?

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

Which pair of complex numbers has a real-number product?

What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations.

A polynomial function has a root of –7 with multiplicity 2, a root of –1 with multiplicity 1, a root of 2 with multiplicity 4, and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree, which statement about the graph is true?

Ms. Clark earned $29,600 in her third year as a banker and $32,600 in her seventh year. How much did she make in her tenth year? Assume that her yearly salaries form an arithmetic sequence.