91Ó°ÊÓ

Divide using synthetic division. $$\left(4 x^{3}-3 x^{2}+3 x-1\right) \div(x-1)$$

Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial function. $$f(x)=5 x^{4}+7 x^{2}-x+9$$

An object's weight on the Moon, \(M,\) varies directly as its weight on Earth, \(E .\) Neil Armstrong, the first person to step on the Moon on July \(20,1969\), weighed 360 pounds on Earth (with all of his equipment on) and 60 pounds on the Moon. What is the Moon weight of a person who weighs 186 pounds on Earth?

The height that a ball bounces varies directly as the height from which it was dropped. A tennis ball dropped from 12 inches bounces 8.4 inches. From what height was the tennis ball dropped if it bounces 56 inches?

Divide using synthetic division. $$\left(x^{5}+4 x^{4}-3 x^{2}+2 x+3\right) \div(x-3)$$

If all men had identical body types, their weight would vary directly as the cube of their height. Shown below is Robert Wadlow, who reached a record height of 8 feet 11 inches \((107 \text { inches ) before his death at age } 22 .\) If a man who is 5 feet 10 inches tall ( 70 inches) with the same body type as Mr. Wadlow weighs 170 pounds, what was Robert Wadlow's weight shortly before his death?

The number of houses that can be served by a water pipe varies directly as the square of the diameter of the pipe. A water pipe that has a 10 -centimeter diameter can supply 50 houses. a. How many houses can be served by a water pipe that has a 30-centimeter diameter? b. What size water pipe is needed for a new subdivision of 1250 houses?

Solve each polynomial inequality and graph the solution set on a real number line. Express each solution set in interval notation. $$x^{2} \leq 2 x+2$$

Divide using synthetic division. $$\left(x^{2}-6 x-6 x^{3}+x^{4}\right) \div(6+x)$$

The water temperature of the Pacific Ocean varies inversely as the water's depth. At a depth of 1000 meters, the water temperature is \(4.4^{\circ}\) Celsius. What is the water temperature at a depth of 5000 meters?