More factoring

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Here is another way to factor a quadratic.

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  • 010607b RADICALS: Solving Radicals
  • 010305x RADICALS: Solving Radicals
  • More factoring

    1. 1. The Milligan MethodThe Milligan Method• Here is another way to factor a quadratic.Here is another way to factor a quadratic.  ***But always try GMF 1***But always try GMF 1stst!!***!!***2452−+ yy1st term Last term21y -24-6411multiply across- 6+ 4-2add these numbersthis should be the middleterm+5These are not thefactors that work.1st term Last term21y -24-8311- 8+ 3- 5close, but we need +5multiply across
    2. 2. 1st term Last term21y -24118-3multiply across8+-352452−+ yyYES!21y(1y(1y-248)-3)This works!!Put your parentheses and thevariables in your answer.(y + 8) (y -3)Remember check using the FOIL method
    3. 3. 24143 2−− aa1stterm. Last term23a -24 23a -2423a -24(3a + 4)(1a - 6)31-64314-6multiply across multiply across1stterm. Last term-6+126add these numbersthis should be the middle term-144+-18-14These are not thefactors that work.YES!This works!!Put your parentheses and thevariables in your answer.(3a + 4) (a - 6)Remember check using the FOIL method
    4. 4. 25204 2+− ww1st term Last term 1st term Last term24w +2541-5-524w24w +2522-5-5multiply across multiply acrossadd these numbersthis should be the middle term-20-5+-20-25-10+-10-20These are not thefactors that work.YES!This works!!+25(2w -5)(2w -5)Put your parentheses and thevariables in your answer.Remember check using the FOIL method(2w - 5) (2w - 5)( )252 −w
    5. 5. 892+− xx1stterm. Last term1stterm. Last termThese are not thefactors that work.multiply across multiply acrossadd these numbersthis should be the middle term-9YES!This works!!Put your parentheses and thevariables in your answer.Remember check using the FOIL method21x21x21x+8 +8+811-4-211-8-1(x - 8)(x - 1)(x - 8) (x -1)8+-20-25-5+-20-25
    6. 6. 24 x 351stterm. Last term41751stterm. Last term24 x 352275These are not thefactors that work.multiply acrossmultiply across7+202714+ 1024this should be the middle term24YES!This works!!24 x 35(2x(2x+7)+5)Put your parentheses and thevariables in your answer.(2x + 7) (2x + 5)Remember check using the FOIL method35244 2++ xx
    7. 7. This powerpoint was kindly donated towww.worldofteaching.comhttp://www.worldofteaching.com is home to over athousand powerpoints submitted by teachers. This is acompletely free site and requires no registration. Pleasevisit and I hope it will help in your teaching.

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