Graphs of Polynomial Functions — Unit test Answers

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

A rectangular prism with a volume of 400 cubic centimeters has the dimensions x + 1 centimeters, 2x centimeters, and x + 6 centimeters. The equation can be used to find x. What is the length of the longest side? Use a graphing calculator and a system of equations to find the answer.

A function is a sixth-degree polynomial function. How many turning points can the graph of the function have?

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.

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?

According to the Rational Root Theorem, the following are potential roots of f(x) = 6x4 + 5x3 – 33x2 – 12x + 20., –2, 1, Which is an actual root of f(x)?

Which system of equations can be graphed to find the solution(s) to 4x2 = x2 + 7?

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?

Brian is solving an equation where both sides are quadratic expressions. He sets the expressions equal to y. Then he graphs the system finding that the two graphs share a common vertex, but one graph opens upward and the other opens downward. How should Brian interpret this outcome?

Which expression is a possible leading term for the polynomial function graphed below?

What is the ninth term in the binomial expansion of (x – 2y)13?

The president of a company creates a graph of the price of the company’s stock over one year. He describes the graph as follows:• The price of the stock rose to about $17 before falling to about $3.• There have only been two periods during which the price of the stock decreased.• The price of the stock is expected to increase in the long run.Which graph correctly shows the price of the stock?

If 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?

Which statement about the polynomial function g(x) is true?

Which second degree polynomial function has a leading coefficient of 2 and roots –3 and 5?

Which of the following is the complete list of roots for the polynomial function ?

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?

Which term, when added to the given polynomial, will change the end behavior of the graph? y = 14x8 – 6x5 – 2x4 – 10

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