What is factor x^4-3x^3+3x-1 ?

The solution to factor x^4-3x^3+3x-1 is (x-1)(x+1)(x^2-3x+1)

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factor x^4-3x^3+3x-1

factor

x^{4} - 3 x^{3} + 3 x - 1

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

Solution steps

x^{4} - 3 x^{3} + 3 x - 1

Use the rational root theorem

= (x - 1) \frac{x ^{4} - 3 x ^{3} + 3 x - 1}{x - 1}

\frac{x ^{4} - 3 x ^{3} + 3 x - 1}{x - 1} = x^{3} - 2 x^{2} - 2 x + 1

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

Factor

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

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

\frac{( 15 x ^{7} )}{( 6 x ^{5} )}

(3 a)^{s}

\frac{( x ^{2} - 5 x - 24 )}{( x ^{2} - 64 )}

512 (x^{6})^{a} + 729 (y^{3})^{b}

- (- \frac{5}{6} x - \frac{2}{3})

What is factor x^4-3x^3+3x-1 ?
The solution to factor x^4-3x^3+3x-1 is (x-1)(x+1)(x^2-3x+1)