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

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

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

factor

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

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

Solution steps

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

Use the rational root theorem

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

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

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

Factor

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

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

- x + \frac{1}{2} x = \frac{67}{12} + x + \frac{5}{3} - 2

(\frac{2}{3} a^{m}) (\frac{3}{4} a^{2} b^{4}) (- 3 a^{4} b^{x + 1})

- 4 x + \frac{4}{9} = \frac{7}{9}

2 (\frac{5}{3})

2 + (- 3)

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