By J. Hamblin Smith

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A;2|/2 9. m'«+15m5- To + 3x*-4. r^- 154. 100. 7r+17/i -390. 10. find tin- n clols of X- Our 6. - 3j; - 28. two terms, one positive and one - 28, and whose sum is - 3. -. c + 4)(x-7). — xxii. Resolve into factors : - \bz - 100. I. X- - hx - 66. 6. z- 2. x^-lx- 18. r'-l(). >i2 36. 8. _24cd-180. 4- 7l2-llH-60. n - 5- i/-13(/-14. J. blated - j;\/ 10. : hp^(i - 2. 84. rms, or their diD'ereuce, in the last We shall now ijive be a trinomial of one of the solved into two 96. /i. tniis be re- first two eijUul to a.

Find tin- n clols of X- Our 6. - 3j; - 28. two terms, one positive and one - 28, and whose sum is - 3. -. c + 4)(x-7). — xxii. Resolve into factors : - \bz - 100. I. X- - hx - 66. 6. z- 2. x^-lx- 18. r'-l(). >i2 36. 8. _24cd-180. 4- 7l2-llH-60. n - 5- i/-13(/-14. J. blated - j;\/ 10. : hp^(i - 2. 84. rms, or their diD'ereuce, in the last We shall now ijive be a trinomial of one of the solved into two 96. /i. tniis be re- first two eijUul to a. xpressions which come under one or oth»'r of the cases already explained.

9. 5, n2- 4371 + 460. 10. 92. 30(/ Case V. To object is 57,^ + 5g_ + 12. J^C«-1162c3 + 30 x-y-z^-13xyz + 2 find the factors of x2 Our _ I. + 5a; - 84. two terms, one positive and one negative, - 84, and whose Bum is 5. -. c-R4=(x+12)(x-7). ESOL V TIOM IN TO 46 FA C TORS. Examples. — xxi. /;-60. I. t2 2. t2+12x-45. 3- rt-+lla-12. 4- a- 5- t-'+ 13/J-30U. + 13a -140. Case VI. )-150. 7. x-8 8. a;2|/2 9. m'«+15m5- To + 3x*-4. r^- 154. 100. 7r+17/i -390. 10. find tin- n clols of X- Our 6. - 3j; - 28.

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