因式分解 6x^3+3x^2-5x+1

解答

因式分解

6 x^{3} + 3 x^{2} - 5 x + 1

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

求解步骤

6 x^{3} + 3 x^{2} - 5 x + 1

使用有理根定理

= (2 x - 1) \frac{6 x ^{3} + 3 x ^{2} - 5 x + 1}{2 x - 1}

\frac{6 x ^{3} + 3 x ^{2} - 5 x + 1}{2 x - 1} = 3 x^{2} + 3 x - 1

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

s im pl i f y \frac{ln ( 1 )}{x ^{2}}

e x p an d (5 x - 8 y)^{3}

s im pl i f y \frac{( 4 x \cdot y ^{2} + 2 x ^{2} \cdot y ^{2} - 2 x \cdot y ^{3} )}{( 2 x ^{2} \cdot y ^{2} )}

s im pl i f y \frac{( 8 )}{( 3 x )}

f a c t or 9 u^{2} v^{4} - u^{2} v^{2}