Graphing Polynomial Functions — Unit test Answers

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

According to the Rational Root Theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11?

A polynomial function has a root of –6 with multiplicity 1, a root of –2 with multiplicity 3, a root of 0 with multiplicity 2, and a root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about the graph is true?

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

If f(–2) = 0, what are all the factors of the function ? Use the Remainder Theorem.

What is the remainder when (x4 + 36) is divided by (x2 – 8)?

If (x – 2k) is a factor of f(x), which of the following must be true?

The side length, s, of a cube is x – 2y. If V = s3, what is the volume of the cube?

What is the fifth term in the binomial expansion of (x + 5)8?

Which of the following describes the roots of the polynomial function ?

Which table describes the behavior of the graph of f(x) = 2x3 – 26x – 24?

Which expression represents the sixth term in the binomial expansion of (5y + 3)10?

The polynomial function is graphed below.Which is a potential rational root of f(x) at point P?

The price that a company charged for a basketball hoop is given by the equation where x is the number of hoops that are produced, in millions. It costs the company $30 to make each basketball hoop. The company recently reduced its production to 1 million hoops but maintained its profit of 15 million dollars. Approximately how many basketball hoops did the company previously produce to make the same profit?

Use synthetic division to solve (x4 – 1) ÷ (x – 1). What is the quotient?

What is the completely factored form of f(x) = 6x3 – 13x2 – 4x + 15?

Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?

The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

Randy divides (2x4 – 3x3 – 3x2 + 7x – 3) by (x2 – 2x + 1) as shown below. What error does Randy make?