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Popular >

factor x^3-4x^2+5x-2

Solution

factor

x^{3} - 4 x^{2} + 5 x - 2

Solution

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

Solution steps

x^{3} - 4 x^{2} + 5 x - 2

Use the rational root theorem

= (x - 1) \frac{x ^{3} - 4 x ^{2} + 5 x - 2}{x - 1}

\frac{x ^{3} - 4 x ^{2} + 5 x - 2}{x - 1} = x^{2} - 3 x + 2

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

Factor

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

= (x - 1) (x - 1) (x - 2)

Apply exponent rule:

aa = a^{2}

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

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

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Frequently Asked Questions (FAQ)

What is factor x^3-4x^2+5x-2 ?
The solution to factor x^3-4x^2+5x-2 is (x-1)^2(x-2)