Cumulative Exam — Cumulative exam Answers

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?

If the function has an inverse function, which statement must be true?

Which expression is equivalent to ?

Which solution to the equation is extraneous?

What are the values of x in the equation x2 – 6x + 9 = 25?

A polynomial function has a root of –6 with multiplicity 3 and a root of 2 with multiplicity 4. If the function has a negative leading coefficient and is of odd degree, which could be the graph of the function?

For the inverse variation equation xy = k, what is the constant of variation, k, when x = –2 and y = 5?

The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x) = 9x – 2. Which expression represents the profit, (k – h)(x), of producing soccer balls?

Adam is using the equation (x)(x + 2) = 255 to find two consecutive odd integers with a product of 255. When Adam solves the problem using the zero product property, what do those solutions represent?

A boat has a speed of 15 mph in calm water. It takes the boat 3 hours to travel upstream but only 2 hours to travel the same distance downstream. Which equation can be used to find c, the speed of the current in miles per hour?

The tables for f(x) and g(x) are shown below.xf(x)–5–11–21113529xg(x)–5–7–2–115513What is the value of (f – g)(5)?

Which expression is equivalent to ?

Which is a factor of f(x) = 60x4 + 86x3 – 46x2 – 43x + 8? Use the Rational Root Theorem to help you find your answer.

What is the sum of 12 – 5i and –3 + 4i?

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?

Anja divides (8x3 – 36x2 + 54x – 27) by (2x – 3) as shown below. What error does Anja make?

Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x?

Which fraction represents the decimal 0.8888...?

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

What is the vertex of the graph of y + 2x + 3 = –(x + 2)2 + 1?