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

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

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

factor

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

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

Solution steps

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

Use the rational root theorem

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

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

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

Factor

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

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

(3 i)^{5}

3 x^{3} - 9 x^{2} - 12 x

(x + 1)^{2} - 81

lo g_{4} (5 x)

\frac{( m ^{2} - 16 n ^{2} )}{\frac{3 m + 12 n}{mn}}

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