Factoring Polynomials Word Problems!

Adrian is making fruit-filled tart shells for a party. He has 72 raspberries and 108 blueberries .The tarts will each have the same number of berries. Raspberries and blueberries will not be in the same tart. If he puts the greatest possible number of fruits in each tart, how many tarts can he make?

Ellie is making a rectangle for a clubhouse with an area of 84 square feet. The length of each side of the floor is a whole number of feet. What is the minimum perimeter for the clubhouse floor?

After t years, the amount of money in a savings account that earns simple interest is P+Prt where P is the starting amount and r is the yearly interest rate. Factor this expression.

Max is making a wooden display case for his baseball collection. He has 24 balls from American League games and 30 balls from national league games. He wants to display the same number of baseballs in each row and does not want to put American league baseballs in the same row as National League baseballs. How many rows will Max need in the display case to put the greatest number of baseballs possible in each row?

Sydney is building a rectangular picture frame for her best friend The base of a frame has a length of (x+6). The height of the frame is (x-5). What is the area of the rectangular picture frame?

What is the slope of the line described by -3y = -6x = 12?