Question 873154
Question 1: The volume of a rectangular prism is 18x3 + 84x2 + 48x. What are the possible dimensions of the prism?
Solution:
 The dimensions are 6x, (x + 4) and (3x + 2)      Hint: Factor 18x3 + 84x2 + 48x. Each factor represents one dimension.

Question 2: A ball at a height of 4 ft is hit straight up into the air.  The height of the ball above the ground in 't' seconds is modeled        by the polynomial  -16t2 + 12t + 4. Find the time taken by the ball to fall back to the  ground.
Solution:
1 second                                                          
 
Hint: Solve the equation -16t2 + 12t + 4 = 0 for t using factoring.

Question 3: The dimensions of Jane.s room are w and 2w ft. After some remodeling  the area of Jane's room is given by the trinomial 2w2 + 7w + 6 sq.ft .Find the increase in the dimensions of the room.
Solution:
 Width w by 2 ft and length 2w by 3 ft.                

Hint: Factor 2w2 + 7w + 6 and compare the dimensions with the original.

Question 4: The area of a rectangular plastic sheet is given by b3 + 3b2 + 10b + 30 square inches.  Find an expression for the perimeter of the sheet.
Solution:
 2b2 + 2b + 16               
                                     
Hint : Factor b3 + 3b + 10b + 30 to find the length and width of the sheet. Use the perimeter formula for a rectangle.

Question 5:  A square parking area has an area equal to 100x2 - 80x + 16 meters. Find the side of the parking lot.
Solution:
10x - 4 meters

Question 6:  The Length of a rectangular courtyard is given by the expression 3x -1. If the area is given by, 3x2 + 2x - 1, find the       width of the room.
Solution:
x + 1