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Factoring GCF
Tougher Trinomials (ax^2 +bx+c ; a >1)
Difference of Squares
E-Z Trinomials
(ax^2 +bx +c; a = 1)
Factoring by Grouping
100
2x + 6y - 10z
What is 2(x + 3y - 5z)
100
9x^2 +6x +1
What is (3x +1) (3x +1)
100
x^2 - 100
What is (x + 10)(x - 10)
100
x^2 + 10x +25
What is (x + 5) (x+5)
100
2ax + 6xc +ba + 3bc
What is (2x +b)(a +3c)
200
x^3 + 5x^2 + 7x
What is x(x^2 + 5x + 7)
200
8m^2-10m +3
What is Prime
200
25x^2 - 36
What is (5x + 6)(5x - 6)
200
x^2 - 2x + 1
What is (x - 1) (x-1)
200
6mx - 4m + 3rx -2r
What is (2m +r) ( 3x -2)
300
6x^4 - 9x^3 + 24x^2
What is 3x^2(2x^2 - 3x + 8)
300
6x^2 + 17x + 12
What is (2x + 3)(3x +4)
300
100x^2 - 121y^2
What is (10x + 11y)(10x - 11y)
300
32 +18r +r^2
What is (16 +r)(2+r)
300
2my + 7x + 7m + 2xy
What is (m+x)(2y +7)
400
2x(x + 5) + 7(x + 5)
What is (2x + 7)(x + 5)
400
8x^2 - 9x + 1
What is (8x - 1)(x - 1)
400
x^4 - 81 (This has two steps to complete the factoring.)
What is (x^2 + 9) ( x^2 -9) OR (x^2 +9) (x+3)(x-3)
400
x^2 - 10x - 24
What is (x -6) (x -4)
400
3ax - 6bx + 8b - 4a
What is (a-2b)(3x -4)
500
x(x - 1) + y(x - 1) +z(x - 1)
What is (x + y + z)(x - 1)
500
15 x^2 - 13xy + 2y^2
What is (5x -y) (3x - 2y)
500
16x^4 - 1
What is (4x^2 + 1)(4x^2 -1) OR (4x^2 +1) (2x -1) (2x+1)
500
x^2 + 11x +30
What is (x + 5) (x+6)
500
2x^3 - 5xy^2 - 2x^2 y + 5y^3
What is (2x^2 - 5y^2) (x-y)