Division of Polynomials — Unit test Answers

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

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

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

Which equation is quadratic in form?

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

Which statement best describes the equation (x + 5)2 + 4(x + 5) + 12 = 0?

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

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

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

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

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 are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve.

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?

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

A polynomial function has a root of –3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, and a root of 3 with multiplicity 2. If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?

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

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?

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

What are the solutions of the equation (x – 3)2 + 2(x – 3) – 8 = 0? Use u substitution to solve.