| Factoring Test KEY |
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1. Factor x2 - 16
(x+4)(x-4)
1. Factor x2 - 25
(x+5)(x-5)
1. Factor x2 - 36
(x+6)(x-6)
1. Factor x2 - 100
(x+10)(x-10)
2. Factor x2 + 6x + 8
(x+2)(x+4)
2. Factor x2 + 16x + 64
(x+8)(x+8)
2. Factor x2 + 10x + 25
(x+5)(x+5)
2. Factor x2 + 12x + 20
(x+2)(x+10)
3. Factor 6x2 + 11x + 3
(2x+3)(3x+1)
3. Factor 3x2 + 11x + 6
(3x+2)(x+3)
3. Factor 6x2 + 13x + 2
(6x+1)(x+2)
3. Factor 3x2 + 13x + 12
(3x+4)(x+3)
4. Factor the greatest common factor out of 4x4+2x2+10xy
2x(2x3+x+5y)
4. Factor the greatest common factor out of 4x6+2x4+10x4y
2x4(2x2 + 1 + 5y)
4. Factor the greatest common factor out of 4x3+2x4+12xy
2x(2x2+x3+6y)
4. Factor the greatest common factor out of 6x3+3x4+12x5y
3x3(2+ x+4x2y)
5. Factor xy + 3x + 3y + 9 by grouping
(x+3)(y+3)
5. Factor xy + 2x + 4y + 8 by grouping
(x+4)(y+2)
5. Factor xy + x + 5y + 5 by grouping
(x+5)(y+1)
5. Factor xy + 2x + 7y + 14 by grouping
(x+7)(y+2)
6. Factor 2x2 + 5xy + 2y2
(2x + y)(x + 2y)
6. Factor 3x2 + 5xy + 2y2
(3x + 2y)(x + y)
6. Factor 8x2 + 14xy + 3y2
(4x + y)(2x + 3y)
6. Factor 2x2 + 5xy + 3y2
(2x + 3y)(x + y)
7. Factor 4x2 - 9y6
(2x+3y2)(2x-3y2)
7. Factor 9x2 - 25y6
(3x+5y2)(3x-5y2)
7. Factor x4 - 25y6
(x2+5y3)(x2-5y3)
7. Factor 4x6 - 9y2
(2x3+3y)(2x3-3y)
8. Factor y2 - 1
(y+1)(y-1)
8. Factor z2 - 4
(z+2)(z-2)
8. Factor x2 - 81
(x+9)(x-9)
8. Factor x2 - 49
(x+7)(x-7)
9. Factor x2 - 7x + 10
(x -5)(x - 2)
9. Factor x2 - 9x + 20
(x -5)(x - 4)
9. Factor x2 - 8x + 12
(x -6)(x - 2)
9. Factor x2 - 8x + 15
(x -5)(x - 3)
10. Factor 8x2 + 10x - 3
(2x - 1)(4x + 3)
10. Factor 8x2 + 10x - 3
(2x + 3)(4x - 1)
10. Factor 6x2 + 5x - 6
(2x + 3)(3x - 2)
10. Factor 6x2 - 5x - 6
(2x - 3)(3x + 2)
11. Factor the greatest common factor out of 4x4y3+2x2y2+10xy
2xy(2x3y2 + xy + 5)
11. Factor the greatest common factor out of 4w3y2+2w4y2+10w4y3
2w3y2(2 + w + 5wy)
11. Factor the greatest common factor out of 4x3z2+2x4z2+12xz
2xz(2x2z + x3z + 5)
11. Factor the greatest common factor out of 6x3z3+3x4z3+12x5z3
3x3z3(2 + x + 4x2)
12. Factor xy - 2x + y - 2 by grouping
(x+1)(y - 2)
12. Factor xy - 4x + 3y - 12 by grouping
(x+3)(y - 4)
12. Factor xy + 5x - 2y - 10 by grouping
(x - 2)(y + 5)
12. Factor xy + 7x - y - 7 by grouping
(x - 1)(y + 7)
13. Factor 2x2 - 3xy - 2y2
(2x + y)(x - 2y)
13. Factor 3x2 + xy - 2y2
(3x - 2y)(x + y)
13. Factor 8x2 - 10xy - 3y2
(4x + y)(2x - 3y)
13. Factor 2x2 - xy - 3y2
(2x - 3y)(x + y)
14. Factor x4 - 4y2
(x2 + 2y)(x2 - 2y)
14. Factor x4 - 16y2
(x2 + 4y)(x2 - 4y)
14. Factor 4x2 - y4
(2x + y2)(2x - y2)
14. Factor 9x2 - y4
(3x + y2)(3x - y2)
15. Factor 4x2 - 9y4
(2x + 3y2)(2x - 3y2)
15. Factor x2 - 100y4
(x + 10y2)(x - 10y2)
15. Factor 4x4 - 9y2
(2x2 + 3y)(2x2 - 3y)
15. Factor x2 - 9y4
(x + 3y2)(x - 3y2)
16. Factor x2-3x-70
(x - 10)(x + 7)
16. Factor x2-5x-50
(x - 10)(x + 5)
16. Factor x2-10x-24
(x - 12)(x + 2)
16. Factor x2-6x-40
(x -10)(x + 4)
17. Factor -12x2 - 22x - 6
(-2)(2x+3)(3x+1)
17. Factor -6x2 - 22x - 12
(-2)(3x+2)(x+3)
17. Factor -12x2 - 26x - 4
(-2)(6x+1)(x+2)
17. Factor -6x2 - 26x - 24
(-2)(3x+4)(x+3)
18. Factor -3x2 + 21x - 30
(-3)(x -5)(x - 2)
18. Factor -2x2 + 18x - 40
(-2)(x -5)(x - 4)
18. Factor -2x2 +16x - 24
(-2)(x -6)(x - 2)
18. Factor -3x2 + 24x - 45
(-3)(x -5)(x - 3)
19. Factor 8x2 - 18y4
2(2x + 3y2)(2x - 3y2)
19. Factor 3x2 - 300y4
3(x + 10y2)(x - 10y2)
19. Factor 20x4 - 45y2
5(2x2 + 3y)(2x2 - 3y)
19. Factor 3x2 - 27y4
3(x + 3y2)(x - 3y2)
20. Factor 9x2y4 - 16
(3xy2 - 4)(3xy2 + 4)
20. Factor 25x2y4 - 9
(5xy2 - 3)(5xy2 + 3)
20. Factor 36x4y4 - 1
(6x2y2 - 1)(6x2y2 + 1)
20. Factor 49x2y4 - 16
(7xy2 - 4)(7xy2 + 4)
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