Graphing Polynomial Functions — Unit test Answers

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

What is the quotient of (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?

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

Which statement about the simplified binomial expansion of (a + b2)n, where n is a positive integer, is true?

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?

What are the coefficients for the binomial expansion of (a + b)3?

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

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

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

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

The side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube?

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.

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

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