Geometric Series — Unit test Answers

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

Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?

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

Which statement best describes the equation x5 + x3 – 14 = 0?

The polynomial function f(x) = 3x5 – 2x2 + 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.

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?

What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3?

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 the same profit?

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?

What are the solutions of the equation x4 – 5x2 – 36 = 0? Use factoring to solve.