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Factoring ReviewFactoring Review
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GCF/Grouping
TrinomialsDifference & Perfect Squares
Sums & DifferencesOf Cubes
Quadratic Form
Find the GCF of the Find the GCF of the monomials.monomials.4a4a77b , 28abb , 28ab
Answer: GCF = 4abAnswer: GCF = 4ab
Find the GCF of the Find the GCF of the monomialsmonomials
2x2x22y , 9xy , 9x22yy33 , 18xy , 18xy22
Answer: GCF = xyAnswer: GCF = xy
Factor Factor 9x9x22 – 3x = 0 – 3x = 0
Answer: x = 0 or 1/3Answer: x = 0 or 1/3
FactorFactor4a4a22b + 28abb + 28ab22 + 14ab + 14ab
Answer: 2ab(2a + 14b + 7)Answer: 2ab(2a + 14b + 7)
Solve for aSolve for a12a12a22 + 3a – 8a – 2 = 0 + 3a – 8a – 2 = 0
Answer: -1/4 or 2/3Answer: -1/4 or 2/3
FactorFactorxx22 + 4x + 3 + 4x + 3
Answer: (x + 1)(x + 3)Answer: (x + 1)(x + 3)
FactorFactoraa22 – 4ab + 4b – 4ab + 4b22
Answer: (a -2b)(a – 2b)=Answer: (a -2b)(a – 2b)=
(a – 2b)(a – 2b)22
Solve for wSolve for ww(w + 16) = 260w(w + 16) = 260
Answer: w = -26 or 10Answer: w = -26 or 10
FactorFactor18y18y22 + 9y - 5 + 9y - 5
Answer: (6y + 5)(3y – 1)Answer: (6y + 5)(3y – 1)
Solve for aSolve for a4a4a33 -18a -18a22 – 10a – 10a
Answer: a = -1/2, 0 , or 5Answer: a = -1/2, 0 , or 5
FactorFactor16s16s22 – 9t – 9t22
Answer: (4s + 3t)(4s – 3t)Answer: (4s + 3t)(4s – 3t)
FactorFactor6 – 54d6 – 54d22
Answer: 6(1 + 3a)(1 – 3a)Answer: 6(1 + 3a)(1 – 3a)
FactorFactor16m16m22 + 48m + 36 + 48m + 36
Answer: (4m + 6)Answer: (4m + 6)22 or 4(2m + 3) or 4(2m + 3)22
Solve for y Solve for y yy22 – 16y + 64 = 81 – 16y + 64 = 81
Answer: y = -1 or 17Answer: y = -1 or 17
Solve for xSolve for x75x75x33 = 147x = 147x
Answer: x = -7/5 , 0, 7/5Answer: x = -7/5 , 0, 7/5
FactorFactorxx3 3 - 8- 8
Answer: (x – 2)(xAnswer: (x – 2)(x22 + 2x + 4) + 2x + 4)
FactorFactor3x3x33 – 3y – 3y33
Answer: 3(x – y)(xAnswer: 3(x – y)(x22 + xy + y + xy + y22))
FactorFactor64w64w33 + 125 + 125
Answer: (4w + 5)(16wAnswer: (4w + 5)(16w22 – 20w + 25) – 20w + 25)
FactorFactor2t2t33 – 54s – 54s33
Answer: 2(t – 3s)(tAnswer: 2(t – 3s)(t22 + 3st + 9s + 3st + 9s22))
FactorFactor343a343a44 + 216ab + 216ab33
Answer: a(7a + 6b)(49aAnswer: a(7a + 6b)(49a22 – 42ab + 36b – 42ab + 36b22))
FactorFactoraa44 – b – b44
Answer: (aAnswer: (a22 + b + b22)(a + b)(a – b))(a + b)(a – b)
FactorFactorxx44 – 4x – 4x22 - 21 - 21
Answer: (xAnswer: (x22 + 3)(x + 3)(x22 – 7) – 7)
FactorFactorxx44 – 6x – 6x22 - 27 - 27
Answer: (xAnswer: (x22 + 3)(x + 3)(x – 3) + 3)(x + 3)(x – 3)
FactorFactor1 – 16x1 – 16x44
Answer: (1 + 4xAnswer: (1 + 4x22)(1 + 2x)(1 – 2x))(1 + 2x)(1 – 2x)
FactorFactor2x2x44y – 26xy – 26x22y – 96yy – 96y
Answer: 2y(xAnswer: 2y(x22 + 3)(x + 4)(x - 4) + 3)(x + 4)(x - 4)
Final Jeopardy
Final JeopardyFinal Jeopardy
Decide how much you want to bet from Decide how much you want to bet from your points total.your points total.
Solve for xSolve for x3x3x44 + 6x + 6x33 – 3x – 3x22 – 6x = 0 – 6x = 0
Answer: x = -2, -1, 0 or 1Answer: x = -2, -1, 0 or 1
