Quartic equations
Solve quartics with integer roots by the rational root theorem and synthetic division, then factor.
Examples
- x⁴ + 12x³ + 54x² + 108x + 81 = 0
- x⁴ + 11x³ + 45x² + 81x + 54 = 0
- x⁴ + 10x³ + 36x² + 54x + 27 = 0
- x⁴ + 9x³ + 27x² + 27x = 0
- x⁴ + 8x³ + 18x² - 27 = 0
- x⁴ + 7x³ + 9x² - 27x - 54 = 0
- x⁴ + 6x³ - 54x - 81 = 0
- x⁴ + 10x³ + 37x² + 60x + 36 = 0
- x⁴ + 9x³ + 29x² + 39x + 18 = 0
- x⁴ + 8x³ + 21x² + 18x = 0
- x⁴ + 7x³ + 13x² - 3x - 18 = 0
- x⁴ + 6x³ + 5x² - 24x - 36 = 0
- x⁴ + 5x³ - 3x² - 45x - 54 = 0
- x⁴ + 8x³ + 22x² + 24x + 9 = 0
- x⁴ + 7x³ + 15x² + 9x = 0
- x⁴ + 6x³ + 8x² - 6x - 9 = 0
- x⁴ + 5x³ + x² - 21x - 18 = 0
- x⁴ + 4x³ - 6x² - 36x - 27 = 0
- x⁴ + 6x³ + 9x² = 0
- x⁴ + 5x³ + 3x² - 9x = 0
- x⁴ + 4x³ - 3x² - 18x = 0
- x⁴ + 3x³ - 9x² - 27x = 0
- x⁴ + 4x³ - 2x² - 12x + 9 = 0
- x⁴ + 3x³ - 7x² - 15x + 18 = 0
- x⁴ + 2x³ - 12x² - 18x + 27 = 0
- x⁴ + 2x³ - 11x² - 12x + 36 = 0
- x⁴ + x³ - 15x² - 9x + 54 = 0
- x⁴ - 18x² + 81 = 0
- x⁴ + 9x³ + 30x² + 44x + 24 = 0
- x⁴ + 8x³ + 23x² + 28x + 12 = 0
- x⁴ + 7x³ + 16x² + 12x = 0
- x⁴ + 6x³ + 9x² - 4x - 12 = 0
- x⁴ + 5x³ + 2x² - 20x - 24 = 0
- x⁴ + 4x³ - 5x² - 36x - 36 = 0
- x⁴ + 7x³ + 17x² + 17x + 6 = 0
- x⁴ + 6x³ + 11x² + 6x = 0
- x⁴ + 5x³ + 5x² - 5x - 6 = 0
- x⁴ + 4x³ - x² - 16x - 12 = 0
- x⁴ + 3x³ - 7x² - 27x - 18 = 0
- x⁴ + 5x³ + 6x² = 0
- x⁴ + 4x³ + x² - 6x = 0
- x⁴ + 3x³ - 4x² - 12x = 0
- x⁴ + 2x³ - 9x² - 18x = 0
- x⁴ + 3x³ - 3x² - 7x + 6 = 0
- x⁴ + 2x³ - 7x² - 8x + 12 = 0
- x⁴ + x³ - 11x² - 9x + 18 = 0
- x⁴ + x³ - 10x² - 4x + 24 = 0
- x⁴ - 13x² + 36 = 0
- x⁴ - x³ - 15x² + 9x + 54 = 0
- x⁴ + 6x³ + 12x² + 10x + 3 = 0
- x⁴ + 5x³ + 7x² + 3x = 0
- x⁴ + 4x³ + 2x² - 4x - 3 = 0
- x⁴ + 3x³ - 3x² - 11x - 6 = 0
- x⁴ + 2x³ - 8x² - 18x - 9 = 0
- x⁴ + 4x³ + 3x² = 0
- x⁴ + 3x³ - x² - 3x = 0
- x⁴ + 2x³ - 5x² - 6x = 0
- x⁴ + x³ - 9x² - 9x = 0
- x⁴ + 2x³ - 4x² - 2x + 3 = 0
- x⁴ + x³ - 7x² - x + 6 = 0
- x⁴ - 10x² + 9 = 0
- x⁴ - 9x² + 4x + 12 = 0
- x⁴ - x³ - 11x² + 9x + 18 = 0
- x⁴ - 2x³ - 12x² + 18x + 27 = 0
- x⁴ + 3x³ = 0
- x⁴ + 2x³ - 3x² = 0
- x⁴ + x³ - 6x² = 0
- x⁴ - 9x² = 0
- x⁴ + x³ - 5x² + 3x = 0
- x⁴ - 7x² + 6x = 0
- x⁴ - x³ - 9x² + 9x = 0
- x⁴ - x³ - 8x² + 12x = 0
- x⁴ - 2x³ - 9x² + 18x = 0
- x⁴ - 3x³ - 9x² + 27x = 0
- x⁴ - 6x² + 8x - 3 = 0
- x⁴ - x³ - 7x² + 13x - 6 = 0
- x⁴ - 2x³ - 8x² + 18x - 9 = 0
- x⁴ - 2x³ - 7x² + 20x - 12 = 0
- x⁴ - 3x³ - 7x² + 27x - 18 = 0
- x⁴ - 4x³ - 6x² + 36x - 27 = 0