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Popular >

factor x^3-3x^2+x+1

Solution

factor

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

Solution

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

Solution steps

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

Use the rational root theorem

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

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

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

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Frequently Asked Questions (FAQ)

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