因式分解 (5x^4-46x^3+84x^2-50x+7)/(x-1)

解答

因式分解

\frac{5 x ^{4} - 46 x ^{3} + 84 x ^{2} - 50 x + 7}{x - 1}

(x - 1) (5 x - 1) (x - 7)

求解步骤

\frac{5 x ^{4} - 46 x ^{3} + 84 x ^{2} - 50 x + 7}{x - 1}

分解

5 x^{4} - 46 x^{3} + 84 x^{2} - 50 x + 7 : (x - 1)^{2} (5 x - 1) (x - 7)

= \frac{( x - 1 ) ^{2} ( 5 x - 1 ) ( x - 7 )}{x - 1}

约分:

x - 1

= (x - 1) (5 x - 1) (x - 7)

s im pl i f y - 42 \cdot 47

5 s + 2 > 7

s im pl i f y \frac{\frac{1}{2}}{\frac{2}{3}}

12 n - 7 - 3 n = 11

x^{2} + 8 x + 22 = 0