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Question 873154: can i get an example of a word problem that requires factoring trinomials?
Answer by indra89811(24)   (Show Source):
You can put this solution on YOUR website! 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
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