Modeling with Systems — Unit test Answers

Which statement about 4x2 + 19x – 5 is true?

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

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

What is the completely factored form of ?

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

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.

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

Sharon is jumping from an 18-foot diving board with an initial upward velocity of 4 ft/s. When Sharon jumps, Megan throws a beach ball up to Sharon with an initial upward velocity of 16 ft/s from a height 5 feet off the ground. To the nearest hundredth of a second, how long after she jumps does the ball reach Sharon?

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