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22A
1)
x + 1
2X + 1
2X + 1x X + 1
2X + 12X2 + X
2X2 + 3X + 1
')x •• 11 1 ~ 3~~,;t43X + 1
3)x~DX"2X+l)
X+1
X+ 1x X+1
X+1X2 + X
X2 + 2X + 1
4) I I II 2X + 1x X + 5
10X + 5X + 51 II 2X2 + X
2X2 + 11X + 5I II
2X + 15) I IIII
2X + 3x X + 6---
12X + 18X+61 IIII 2X2 + 3X
2X2 + 15X + 18I ""
2X +3
6)X"1 1 1 ~3X + 1
7)x"11 I2X + 5
8) 4X2 + 10X + 4 = 2(2X2 + 5X + 2)
I I II
X+2
2X + 1
3X + 1x X+ 2
6X + 23X2 + X
3X2 + 7X + 2
2X + 5x X+ 2
4X + 102X2 + 5X
2X2+9X+10
2X + 1x X+ 2
4X + 22X2 + X
2X2 + 5X + 2
9) (2X + 3)(X + 3)Drawings for #9-16 are not shown.
The student should continue to build theproblems as illustrated at left.
2X + 3x X + 3
6X + 92X2 + 3X---2X2 + 9X + 9
10) (4X + 1)(X + 2)4X + 1
x X+ 2
8X + 24X2 + X
4X2 + 9X + 2
11) (3X+4)(X+2)3X + 4
x X+ 2
6X + 83X2 + 4X
3X2 + 10X + 8
12) 2(X2 + 7X + 10) = 2(X + 2)(X + 5)X + 2
x X + 55X + 10
X2 + 2X
X2 + 7X + 10
22B
2X + 52) (5X + 2)(X + 3) 5X + 2
x X + 3
15X + 65X2 + 2X
5X2 + 17X + 63)
X+5
2X + 14) (4X + 1)(X + 3) 4X + 1
x X + 3
12X + 34X2 + X
4X2 + 13X + 3
5) 2(X2 + 8X + 15) = 2(X + 3)(X + 5)
2X + 5x X + 1
2X + 52X2 + 5X
2X2 + 7X + 5
2X + 1x X+5
10X + 52X2 + X
2X2 + 11X + 5
9) (2X + 3)(X + 5)The student should continue to
build the problems as illustrated atleft.
2X + 3x X+ 5
10X + 152X2 + 3X
2X2+13X+15
10) 5(X -t 7)(X + 3)X + 7
x X + 3
3X + 21X2 + 7X
X2 + 10X + 21
11) 6(X -t 4)(X + 2)X + 4
x X+ 2
x·,n X+ 1x X+ 2
2X + 2X2 + X 14)
v2 .1. 'lV I I)
X+7
3X + 2
(j)oSo·:l(/)
I\)I\)»I\)I\)OJ
22C
1) (3X+4)(X+1)
X+11 1=1 ~2) (2X + 3)(X + 2)
9)
10)
(2X + 1)(2X + 3)
2X + 1x 2X + 3
6X + 34X2 + 2X
3X + 4 4X2 + 8X + 3
x + 2
11) 82+6-5 = 83
12) AB+C
13) X-3y2X-1y3X5 = Xy5
14) A3A-28182A-4 = A-383
15) 6 x 1,000,000 + 8 x 10,000 + 2 x 1,000+7x1/100=6,082,000.07