因式分解-x^5-3x^4+3x^3+11x^2+6x

解答

因式分解

- x^{5} - 3 x^{4} + 3 x^{3} + 11 x^{2} + 6 x

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

求解步骤

- x^{5} - 3 x^{4} + 3 x^{3} + 11 x^{2} + 6 x

因式分解

- 1 : - (x^{5} + 3 x^{4} - 3 x^{3} - 11 x^{2} - 6 x)

= - (x^{5} + 3 x^{4} - 3 x^{3} - 11 x^{2} - 6 x)

因式分解

x^{5} + 3 x^{4} - 3 x^{3} - 11 x^{2} - 6 x : x (x + 1) (x + 1) (x - 2) (x + 3)

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

使用指数法则:

aa = a^{2}

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

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

x \cdot (x + 9) = 0

15 \leq 3 x - 2 < 22

\frac{5}{4} x - 7 = x - 5

s im pl i f y \frac{15 x ^{- 5} y ^{7}}{3 x ^{2} y ^{- 8}}

∣ 2 x - 10 ∣ + ∣ x - 3 ∣ = 10