A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6 ft rectangular track along the walls of the gym and has an area of 7000 square feet.

a. Write an equation to represent the area of the gym and track together in terms of width.

b. What are the degree, leading coefficient, leading term, and constant?

c. Write an equation to represent the area of the track surface in terms of width.

d. What are the degree, leading coefficient, leading term, and constant?

e. Use the equation to solve the dimensions of the gym. Round your answer to one decimal place.

At the gym you help out three different friends make some calculations for their fitness program. Use the following equations: x^{3} + 9x^{2} + 32x +48 \div x + 4; 4x^{3} + 10x^{2} + x + 21 \div x + 3; 2x^{3} + 10x^{2} -23x + 11 \div x - 1

f. Solve the each equation using long division.*

g. Solve the each equation using synthetic division.* *Synthetic and long division are difficult to write out.