What is factor x^4-2x^3-3x^2+8x-4 ?

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

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

factor

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

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

Solution steps

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

Use the rational root theorem

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

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

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

Factor

x^{3} - x^{2} - 4 x + 4 : (x - 1) (x + 2) (x - 2)

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

Apply exponent rule:

aa = a^{2}

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

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

\frac{20 m ^{5}}{5 m ^{7}}

- x^{2} + 8 x - 12 = 0

w^{2} - 31 w = 132

(6 - i) + (7 + 3 i)

16 g^{2} - g^{3}

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