因式分解 2x^3-9x^2+10x-3

解答

因式分解

2 x^{3} - 9 x^{2} + 10 x - 3

(x - 1) (2 x - 1) (x - 3)

求解步骤

2 x^{3} - 9 x^{2} + 10 x - 3

使用有理根定理

= (x - 1) \frac{2 x ^{3} - 9 x ^{2} + 10 x - 3}{x - 1}

\frac{2 x ^{3} - 9 x ^{2} + 10 x - 3}{x - 1} = 2 x^{2} - 7 x + 3

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

因式分解

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

= (x - 1) (2 x - 1) (x - 3)

5 ∣ 2 x - 1 ∣ + 3 = 28

3 x - 5 + 2 x = 25

(\frac{1 0 ^{6}}{4 ^{6}})^{- \frac{1}{6}}

n^{2} - 46 n + 88

1 - a^{2} b^{4}