Geometric Series — Unit test Answers

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

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

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

Which polynomial function could be represented by the graph below?

Which expression is a difference of cubes?

Which expression is equivalent to ?

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

Which geometric series diverges?

A bungee jumper falls 97.2 feet before bouncing back up at the end of his bungee cord. Then he falls 64.8 feet before bouncing up again. On his third descent, he falls 43.2 feet before going back up. What is the total distance the bungee jumper drops after five falls if the distances continue in this pattern? (Do not include the distance traveled up.)

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

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 solutions of the equation (x + 2)2 + 12(x + 2) – 14 = 0? Use u substitution and the quadratic formula to solve.

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

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 savings account pays 2% interest compounded annually. If $1,200 is deposited initially and again at the first of each year, how much money will be in the account three years after the initial deposit?

What are the solutions of the equation (x + 2)2 – 2(x + 2) – 15 = 0? Use u substitution to solve.

What is the remainder when (3x3 – 2x2 + 4x – 3) is divided by (x2 + 3x + 3)?

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

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

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