因式分解 x^4-3x^3-4x^2+12x

解答

因式分解

x^{4} - 3 x^{3} - 4 x^{2} + 12 x

x (x - 3) (x + 2) (x - 2)

求解步骤

x^{4} - 3 x^{3} - 4 x^{2} + 12 x

因式分解出通项

x : x (x^{3} - 3 x^{2} - 4 x + 12)

= x (x^{3} - 3 x^{2} - 4 x + 12)

因式分解

x^{3} - 3 x^{2} - 4 x + 12 : (x - 3) (x + 2) (x - 2)

= x (x - 3) (x + 2) (x - 2)

s im pl i f y 33 x - 35 - 30 x + 52

f a c t or 4 + 4 b^{4}

s im pl i f y (a^{3} b^{3}) - (a^{2} + 2 a^{3} - b^{3})

f a c t or 10 + 5 j

f a c t or 16 x^{4} + 9 y^{4} + 24 x^{2} \cdot y^{2}