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

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

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

factor

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

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

Solution steps

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

Write in the standard form

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

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

Factor out

x^{3}

from

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

Factor out

- 1

from

- x - 2 : - (x + 2)

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

Factor out common term

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

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

Factor

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

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

18 \geq 5 x + 4 x

x^{2} - 12 x - 13

3 x^{2} - 9 x + 6 = 0

∣ x - 5 ∣ \leq 2 x

∣ 3 x - 1 ∣ - 3 \leq \frac{x}{2} + 1

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