120_10.3_notes

120_10.3_notes - Page 6 Mat120 Chapter 10 Section 3 Definition 1 Greatest Common Factor a{I#4 an‘éaLnS‘éLg-MI‘S Com/nah""4 ail

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Unformatted text preview: Page 6 Mat120 Chapter 10 - Section 3 Definition: 1. Greatest Common Factor: a! {I #4: an‘éaLnS‘éLg-MI‘S Com/nah "("4 ail, terms Ln FLO Wrassxh. Examples: Find the greatest common factors a. 9x5 and 15 x3 b. ms):4 and 4x4y3 and 2x3y2 v 3 ' x y x 11* Factor out the greatest common factor. , Reverse of the distributive Property: ax + ay = g + at J 2. 12x2+9xl_” 3, 2036-318 QC}: qfls (m: @~+® x14<§wé<3 @569” [email protected]@ 01 - 3* 3mm H) H (5/634) 10. 9x4 + 181:3 + 6x2 20. 49x4y325 — 70x3y5z‘1 + 35x4y4z3 . .1 91 ' ' ' ’ 2‘ 3x (3x +m<+au Mfgfixgimy &+5‘XY) Mat120 Chapter 10 — Section 3 Page 7 Greatest Common Factor and Factoring by Grouping Factor out the negative of the greatest common factor. 24. —5x + 20 32. —5x3 + 50x2 — 10x —5”)<(><2'/0X +2) 34. —x2 — 8x + 8 ~t (xix—M ’00) Factor the greatest common binomial factor from each polynomial. 36. 5(x+4) + a(x+4) 40. kg) —' (x+y) ("x+4)(§+0/) (X+Lj)(7)<—I ) 42. 6x2 (5x-1) +4 gx—l) 44. (x+4)(£+§) + (X—leil-g) (s‘x-Iflbfi—H) (M5,)[X7L4 .f X4] (X5) (:2 x+5) Mat120 Chapter 10 - Section 3 Page 8 Factaring by Grcuping Factor: .13 4% 4x2 3x + 12. SGLUHGN There is no factor ather than 1 mmmnn to all fauna. Hawever. we fian group terms that have a cannon factm’: + 3.1: +12 , faint i chafif’a’mr W ~ We 11m? factnr' the givm poly‘rmmial as fallows: x3 ~é~ 4x2 3x + 12 23 (323' + 43:2) (3x “13" 12) (Evan? tammw’th mmmmfiavsmwh 2‘: .tzfgss 4:3 It? '4 55mm? mu: tha: grmtaafit mmmm Facts»? fi‘crm thee: {gratified mm: “Fm: t’émginmg wag-:4 terth + 4 a aamman Mammy? ‘9' Factm. 1:): 4311;: «i: 3). Pasta? m thug mm + 4; Mat120 Chapter 10 - Section 3 Page 9 ' Greatest Common Factor and Factoring by Grouping ’4 Factor by Grouping. v 46. (68+ 2:} +é1x+8) 52. xy~55§ +£9y—45 1/ ioug>+qug) XKgifj+¢%<fi:£7 +}\ KM ‘ ~ r ,, w (X ( ) Qyé )(XfQ) 58. — 2x? -<6x + 4‘\ 62. 2x3 1:10 — 4x2 — 5x "xiuk~;>~JI:X' l) §9X34x€¢nX%/QJ 3“ (3%4q(x£;) QXQXQ)’5(X‘2) (X>A)C;X%6*) 66. g{gazx + 6a2yV—r 2bx — 4by 3 03L(X+CM1) ‘2/9 (X+g)(3a3<;é) ...
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This note was uploaded on 05/05/2008 for the course MAT 120/222/10 taught by Professor None during the Spring '08 term at ASU.

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120_10.3_notes - Page 6 Mat120 Chapter 10 Section 3 Definition 1 Greatest Common Factor a{I#4 an‘éaLnS‘éLg-MI‘S Com/nah""4 ail

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