Factoring

Cover Factoring
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62. 1 - 3 a;^/ - 108 a?y .
40. 126 + 15 2/' -2/'- 63. A^ - 32 a6c + 112 6V.
41. AV + 9aV-162. 64. A^y + 7 a:^^^^ - 170 ;5l 42. M^«-23m^ + 120. 65. A^- (2m + 3n)a; + 6mn.
43. (a+&)2+14(a+6)+24. 66. A:^ - {a - b)x - ab.
20. Case VII. When the expression is in the form aa? + bx+ c.
If a is a perfect square and b divisible by Va, we may factor the expression directly by the method of Sec. 19.
1. Factor 9 a^- 18 a; + 5.
We have, 9a^ '-lSx-\'5= {3xy --6(3x) + 5.
1 6 Factoring, We find two numbers who
...se sum is — 6, and product 5. The numbers are — 5 and — 1. Then, 9x'-18x + 5==(Sx-^5)(3x-l). If b is not divisible by Va, or if a is not a perfect square, we multiply and divide the expression by a, 2. Factor 6x^ + 5x — 4:, Multiplying and dividing the expression by 6, we have e^. 5^ ^^ S6a^ + S0x--24. ^ (6xy + 5(6x)-24.
6 6 The numbers are 8 and — 3.
Then, 6a^ + 5a;-4 =

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