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Multiplying remainder by - 1,

+

+

36x2+3* - 5)242° +223* +17***

+3 ( +51x+15(2x+5

ION

72x3 +66x2 + 51x + 15( 2x +
72x3 + 6x2
60x2 + 61X + 15

3
180x2 + 183* + 45
180x2 + 15x – 25
14)168x + 70

12x + 5.

[blocks in formation]

4

[ocr errors]

9. Striking out common factors from second quantity,
4a? – ab – 362)3a9 – 3a+b+ ab? – 18
- -

1213 – 12a b + 4ab2 463/32 - 96
1293 – 3ab - gab2

3a 9a4b + 13ab2 463

4 - 36a4b + 52ab2 – 1663 - 36a+b+ gab2 +2763 4362)43ab2 – 4363

a-b.

[graphic]
[blocks in formation]

11. 12a? – 152 +3)6a® – ba? + 2a

2(a+1

[merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small]

+

- 2

2

12. 6x8 – 11x?+8x – 2)8x8 – 10x2+ 7*-?(

3 24.73 – 30x2 + 21x – 6 24x3 – 44x2 + 32x – 8

14x2 – 11x + 2. 14x2 – 11x + - 11X2 + 8x +2)6x8 – 11

7
42x3 7732 + 56x – 143x + 22

(*
42x3 – 33x2 + 6x
- 44x2 + 50x – 14

-7
308x2 – 350x +98
308x2 – 242x + 44
- 54) - 108x + 54

2x - I.

[merged small][merged small][ocr errors][merged small][merged small]

13. x2 +11x + 309x9 + 53x2 –
30)

9x – 18/9x - 46
9.x3 +99x2 + 270x
- 46x2 – 279x –

18
- 46x2 – 506x – 1380
227)227x + 1362

x + 6 x2 + 11x + 30/x + 5

x2 + 6x

5x + 30 5x + 30

.. G. C. M. = x + 6.

14. 73

[ocr errors]

8 - 95)zo + 103*+ 213(
First strike out x, which is common to both expressions.

x2
-9)*+ 10x + 2/("
10) 10x + 30

a + 3 )9(* -3

- 3X - 9
- 3x – 9

.. x(x+3)=G. C. M.

[blocks in formation]

2x4 – 30x2 + 56x – 24
2x4 – 15x2 + 143
-3) - 15x2 + 42x – 24

5x2 – 14x + 8.
5.62 – 14.2 + 8)2x3 – 15x + 14

**

5
10X3 – 75x + 70

(2*
2x + 28

*
10x3 – 28.x2 + 16x
28x2 – 91x + 70

5
140x2 – 455x + 350
140x2 – 392x + 224
-63) - 63x + 126

[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors]

28 – 6x2 + 4x + 5)2x4 – 3:23 2x22x - 3(2x+9

[ocr errors]

6x4 - 8x3

4 6x4 - 9.83 +6x2 - 6x - 9

x3 - 6x2 + 4x + 5

– –
12x3 + 10X
9x3 – 6x2 – 12X – 3
9x3 - 54x + 36x + 45
48)48x2 - 48x - 48

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