因式分解 7x^5-21x^4+14x^3

解答

因式分解

7 x^{5} - 21 x^{4} + 14 x^{3}

7 x^{3} (x - 1) (x - 2)

求解步骤

7 x^{5} - 21 x^{4} + 14 x^{3}

因式分解出通项

7 x^{3} : 7 x^{3} (x^{2} - 3 x + 2)

= 7 x^{3} (x^{2} - 3 x + 2)

因式分解

x^{2} - 3 x + 2 : (x - 1) (x - 2)

= 7 x^{3} (x - 1) (x - 2)

\frac{x}{5} - 2 = - 9

0 = x^{2} - 6 x - 4

s im pl i f y 5 (\frac{1}{3})

0 = - 20 x^{2} + 1900 x - 31000

3 x^{2} = 12 x - 12