Graph the function. show your work with the following: fundamental theorem of algebra to know how many roots you’ll discover; descartes rule of signs to determine how many will be positive, negative or imaginary. rational root theorem to know the possible roots; and synthetic division with upper and lower bounds to find the roots. f(x)=-3x^3-6x^2+3x+6
name any x-intercepts and y-intercepts in the graph of the function. (sorry for the poor quality of the picture attached)

Hannah is 3 years older than twice her brother joey’s age. joey is 2 years old. how old is hannah? show all of your work! the number of students is five more than seven times the number of teachers. there are 10 teachers. how many students are there? be sure to show all of your work!

Find the area and perimeter of each composite figure. use 3.14 for π. round your answer to the nearest tenth. a square and a right triangle share a common side. image long description a 3-meter by 0.5-meter rectangle has triangles attached like wings to the 3-meter sides. the other two sides of both triangles measure 2.5 meters. the height of each triangle is 2 meters. a 6-inch by 4-inch rectangle has 2 half-circles attached like wings to the 6-inch sides. the radius of each half-circle is 3 inches. find the surface area and volume of each figure. use 3.14 for π. round your answer to the nearest tenth. a right circular cylinder has a base radius of 6 yards and a height of 20 yards. a rectangular prism has a base that is 9 centimeters long and 7 centimeters wide. the height is 2 centimeters. a rectangular prism has a base that measures 11 millimeters by 11 millimeters. the height is 11 millimeters.

Abank gives 6.5% interest per year. what is the growth factor b in this situation?