Polynomial Inequalities Answers

What is the solution of the following quadratic inequality?x2 – 4x – 21 ≤ 0

Use the graph to answer the question.What is the solution of x4 – 3x3 + x2 + 3x – 2 < 0?

What is the solution of the following quadratic inequality?9x – x2 > 18

What is the solution of the following quadratic inequality?x4 – 18x2 ≥ –64

What is the solution of x3 – x2 > 9(x – 1)

The perimeter of a rectangle is 60 meters. What are the possible lengths of any of the rectangle’s sides if its area exceeds 216 square meters?

The volume of a rectangular prism with a length of x meters, a width of x − 1 meters, and a height of x + 11 meters is no more than 180 cubic meters. What are the possible values of the length?

The amount of water leaking from a water tank can be modeled with the function f(x) = −x3 − 10x2 − x + 120, where x measures the number of minutes since the leak began and f(x) measures the volume of the tank. During what time period is there water in the tank?

The annual profits of a company are modeled by the function f(x) = x4 – 87x2 – 26x + 2680, where f(x) represents an amount in thousands of dollars, and x is years, starting in 1950. During what years has the company had profits of one million dollars or more?

The amount of algae in a bloom, P, can be modeled by the equation P = t4 + 6t3 + 7t2 + 8t, where t is measured in weeks. During what interval of t will the population of algae be greater than 500?