Difference of Cubes
Factor the polynomial: u^3 - 216
Answer: (u + 6)(u^2 + 6u + 36)
Factor the polynomial: x^3+64
Answer: (x+4)(x^2-4x+16)
Factor by grouping: (x^3+x^2+x+1)
Answer:(x+1)(x^2+1)
(2x^2 - 7x + 10) / (x - 5)
Answer: 2x + 3 r 25
Factor the polynomial: x^3-8
Answer: (x-2)(2x^2+2x+4)
Factor the polynomial: x^3+27
Answer: (x+3)(x^2-3x+9)
Factor by grouping: x^3+3x^2+10x+30
Answer: (x+3)(x^2+10)
6x^2 - 5x + 9) / (2x - 1)
3x - 1 r 8
(x^3 - 4x + 6) / (x + 3)
Answer: x^2 - 3x + 5 r -9
Factor the polynomial: 125x^3-8
Answer: (5x-2)(25x^2+10x+4)
Factor the polynomial: 27x^3+216
Answer: (3x+6)(9x^2-18x+36)
Factor by grouping: 2x^3-5x^2+18-45
Answer: (2x-5)(x^2+9)
(7x^3 + 11x^2 + 7x + 5) / (x^2 + 1)
Answer: 7x + 11 r -6
(4x^2 - 13x - 5) / (x - 2)
Answer: 4x - 5 r -15
Factor the polynomial: x^4-27x
x(x - 3)(x^2 + 3x + 9)
Factor the polynomial: 216x^3+1
Answer: (6x+1)(36x^2-6x+1)
Factor by grouping: 3x^3-6x^2+x-2
(x-2)(3x^2+1)
(3x^3 + 11x^2 + 4x + 1) / (x^2 + x)
3x + 8 r -4x + 1
(x^4 - 5x^3 - 8x^2 + 13x - 12) / (x - 6)
Answer: x^3 + x^2 - 2x + 1 r -6
Factor the polynomial: x^3- 1000
Answer: (x-10)(x^2+10x+100)
Factor the polynomial: x^3+1000
Answer: (x+10)(x^2 - 10x + 100)
Factor by grouping: 3x^3-2x^2-9x+6
Answer: (3x-2)(x^2-3)
(5x^4 - 2x^3 - 7x^2 - 39) / (x^2 + 2x - 4)
Answer: 5x^2 - 12x + 37 r -122x + 109
(2x^5 + x) / (x + 4)
Answer: 2x^4 - 8x^3 + 32x^2 - 128x + 513 r -2052