1) x^4 - 6x^2 - 27 = (x^2 - 9)(x^2 + 3) = (x - 3)(x + 3)(x^2 + 3)2) x^4 + x^2 - 20 = (x^2 + 5)(x^2 - 4) = (x + √5)(x - √5)(x + 2)(x - 2)
1) 2x^4 - 17x^2 - 9 = (2x^2 + 1)(x^2 - 9) = (2x^2 + 1)(x - 3)(x + 3)2) 3x^4 - 11x^2 - 4 = (3x^2 + 1)(x^2 - 4) = (3x^2 + 1)(x - 2)(x + 2)
(4a^2 - 9a + 2) / (1 - 4a + x - 4ax) = ((4a - 1)(a - 2)) / ((1 - 4a)(1 - x)) = (4a - 1)(a - 2)/(1 - 4a)(1 - x)(1 - 6c + y - 6cy) / (6c^2 - 7c + 1) = (1 - 6c + y - 6cy) / ((3c - 1)(2c - 1)) = (1 - 6c + y - 6cy)/(3c - 1)(2c - 1)
1) x^4 - 6x^2 - 27 = (x^2 - 9)(x^2 + 3) = (x - 3)(x + 3)(x^2 + 3)
2) x^4 + x^2 - 20 = (x^2 + 5)(x^2 - 4) = (x + √5)(x - √5)(x + 2)(x - 2)
1) 2x^4 - 17x^2 - 9 = (2x^2 + 1)(x^2 - 9) = (2x^2 + 1)(x - 3)(x + 3)
2) 3x^4 - 11x^2 - 4 = (3x^2 + 1)(x^2 - 4) = (3x^2 + 1)(x - 2)(x + 2)
(4a^2 - 9a + 2) / (1 - 4a + x - 4ax) = ((4a - 1)(a - 2)) / ((1 - 4a)(1 - x)) = (4a - 1)(a - 2)/(1 - 4a)(1 - x)
(1 - 6c + y - 6cy) / (6c^2 - 7c + 1) = (1 - 6c + y - 6cy) / ((3c - 1)(2c - 1)) = (1 - 6c + y - 6cy)/(3c - 1)(2c - 1)