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Factoring Guidelines for Math Success

Learn essential factoring rules and methods like GCF, difference of squares, and product sum for successful math solving. Avoid common mistakes and understand key concepts.

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Factoring Guidelines for Math Success

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  1. Ch. 4 Rev. WS answers • 3 2) 2 3) –s9 4) -72x5y4z9 5) a3x 6) 3y2-9y+6 7) 25x2+30xy+9y2 8) x3+x2y-2x2y-2xy2+xy2+y3 9) 22 3 52 10) 23 3 7 11) GCF: 4xy4 LCM: 24x3y5 12) 6a2b, 624a3b4 13) 6a, 1890a3b 14) 10x(a+2b)(a-2b) 15) 2a(2u+3)2 16) 2(a-3)(a-6) 17) 2(3x+2)(x-4)

  2. Cont… 18) 3(x2+2)(x2-2) 19) d(c – b) 20) 2(2x+3y)(4x2-6xy+9y2) 21)(4x – 15)(x-3) 22) 3(x+3a)2 23) {3 (d.r)} 24){5 (dr), 7, -4} 25) {½ , 7} 26) {-2, 3} 27) {0, -1, 4} 28) L=18cm W=4cm 29) {7, 8} or {-8, -7} 30) {x: x<-2 or x>4} 31) {x: -8<x<-3}

  3. Guidelines for Factoring • Always factor out a GCF • If there are only 2 terms: • Look for DIFFERENCE of Squares • Look for GCF • Look for Cubes (SONG!!!!) • If there are 3 terms do the “product sum” method or Big X.

  4. Other Clues for test • When “SIMPLIFYING” there should be NO parenthesis in the answer. • When solving, set =0 and then factor. If there already are ( ) then it’s factored!! • Don’t forget Units on a rectanlge and no negatives.

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