因式分解 2x^3+14x^2+14x-30

解答

因式分解

2 x^{3} + 14 x^{2} + 14 x - 30

2 (x - 1) (x + 3) (x + 5)

求解步骤

2 x^{3} + 14 x^{2} + 14 x - 30

因式分解出通项

2 : 2 (x^{3} + 7 x^{2} + 7 x - 15)

= 2 (x^{3} + 7 x^{2} + 7 x - 15)

因式分解

x^{3} + 7 x^{2} + 7 x - 15 : (x - 1) (x + 3) (x + 5)

= 2 (x - 1) (x + 3) (x + 5)

5 x^{2} + 2 = 11 x

9 x (x - 2) = 5

f a c t or 8 ab c - 16 a^{2} b^{2} c^{2}

\frac{x ^{2}}{4} + \frac{( 2 x + 5 ) ^{2}}{9} = 1

∣ x + 4 ∣ < 2