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Popular >

factor x^3-5x^2+8x-4

Solution

factor

x^{3} - 5 x^{2} + 8 x - 4

Solution

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

Solution steps

x^{3} - 5 x^{2} + 8 x - 4

Use the rational root theorem

= (x - 1) \frac{x ^{3} - 5 x ^{2} + 8 x - 4}{x - 1}

\frac{x ^{3} - 5 x ^{2} + 8 x - 4}{x - 1} = x^{2} - 4 x + 4

= (x - 1) (x^{2} - 4 x + 4)

Factor

x^{2} - 4 x + 4 : (x - 2) (x - 2)

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

Apply exponent rule:

aa = a^{2}

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

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

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\frac{4}{5 - 7 i}

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5 r^{2} - 55 r + 150

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36 x^{3} - 9 x y^{2}

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- 16 x^{2} + 68 x + 52

simplify (1/4+1/7 i)-(5/6+7/2 i)simplify

(\frac{1}{4} + \frac{1}{7} i) - (\frac{5}{6} + \frac{7}{2} i)

Frequently Asked Questions (FAQ)

What is factor x^3-5x^2+8x-4 ?
The solution to factor x^3-5x^2+8x-4 is (x-1)(x-2)^2