Factoring Review Worksheet Page 2

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 x
31.
2
32.
2
33.
2
2
x
7
13
x
4
x
12
x
9
0
18
x
3
10
0
2x
2x
3x + 7
2x + 3
34. Give the perimeter of the rectangle shown in terms of x.
35. Give the area of the whole rectangle in terms of x.
36. Give the area of the shaded region in terms of x.
37. Write an expression, in terms of y, which represents the perimeter of rectangle with a
length of y + 5 units and a width of y – 2 units.
– 12p + 9.
2
38. The area of a square is represented by 4p
a. Give the length of each side is terms of p.
b. Give the perimeter of the square in terms of p.
39. A foul ball leaves the end of a baseball bat and travels according to the formula ℎ ( �� ) =
2
64�� − 16��
where h is the height of the ball in feet and t is the time in seconds. Find the roots
of the equation when y = 0. Explain what the roots mean in this situation.
40. If a toy rocket is launched vertically upward from ground level with an initial velocity of
128 feet per second, then its height h after t seconds is given by the equation ℎ ( �� ) =
2
−16��
+ 128�� (if air resistance is neglected). Find the roots of the equation when y = 0.
What do the roots mean in this situation?

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