Practice Page
Directions: Answer these questions pertaining to factoring polynomials. Choose the best answer. Check your answer when finished.

1.
The area of a larger rectangle is 6a(4a + 3) and the area of a smaller rectangle is 5(4a + 3). What is the difference of the areas, in factored form?

rectangles
       Choose:
 
(4a + 3)(6a - 5)
(4a + 3) - (6a - 5)
  (4a + 3)(6a + 5) (4a + 3) + (6a - 5)



2.
Kyle calls to tell you that he has found the correct factors to the homework problem dealing with the difference of two squares. Which of the following could he possibly tell you is his answer? (Assume his answer is correct!)
Kyle2
Choose:
(2a + b)(a - 2b)
(2b - 5)(b - 5)
(a - 5)(a - 5) (2a + 3b)(2a - 3b)



3.
Given:  6x3 - 10x2 - 8x   and   2x(3x2 - 5x - 4).
Let  y1 = 6x3 - 10x2 - 8x   and   y2 = 2x(3x2 - 5x - 4).
If you graph each function, how will the graphs appear, and why?

GC
       Choose:
 
The graphs intersect at one point because y2 is a factored form of y1.
  The graphs are the same graph because y2 is a factored form of y1.
  The graphs are not the same graph because y2 is not a factored form of y1.
  The graphs do not intersect because y2 is a factored form of y1.



4.
You use the TABLE feature on your graphing calculator to examine the graphs from Question #3. How does the table of values for y1 compare with the table of values for y2 ?

GC
       Choose:
 
y2 < y1 for all x-values
y2 = y1 for all x-values
 
y2 > y1 for all x-values
y2 < y1 for all x-values



5.
A ceremonial red carpet is rectangular in shape and covers 2x2 + 11x + 12 square feet. If the width of the carpet is (x + 4) feet, express the length, in feet.

redcarpett
       Choose:
 
x + 3
2x + 3
3x + 3
4x + 3



6.
You are playing a game of "Deal-A-Math" and you draw the card shown below. What is the correct response?
dealmath
Choose:
x - 4
x + 4
x - 2
x + 2



7.
a. A teacher sees the following factoring on a student's paper. Is this factoring correct?
4(x - 3)2 - 8(x - 3) = 4(x - 3)[(x - 3) - 2] = 4(x - 3)(x - 5)
Choose:
YES
NO

b. What is the value of 4(x - 3)2 - 8(x - 3) - 4(x - 3)(x - 5)?
Choose:
1
0
-12x + 44
24x + 48



8.
Which of the following expressions cannot be used to express the area of the blue shaded regions of this rectangle?

bluefactorrectangle
      Choose:
 
x(x + y) - y(x + y)
x2 - y2
  (x - y)(x - y) (x - y)(x + y)




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