因式分解 2x^3+x^2-5x+2

解答

因式分解

2 x^{3} + x^{2} - 5 x + 2

(x - 1) (2 x - 1) (x + 2)

求解步骤

2 x^{3} + x^{2} - 5 x + 2

使用有理根定理

= (x - 1) \frac{2 x ^{3} + x ^{2} - 5 x + 2}{x - 1}

\frac{2 x ^{3} + x ^{2} - 5 x + 2}{x - 1} = 2 x^{2} + 3 x - 2

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

因式分解

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

= (x - 1) (2 x - 1) (x + 2)

0.05 (x + 6) + 0.1 (x) = 1.8

- 1.2 > \frac{x}{- 5}

8 x^{2} + 3 x - 6 = 0

(3 x - 1)^{2} = 12

3 \cdot \frac{1}{2} - 43 \cdot \frac{1}{3} = x