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

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

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factor x^4-3x-2

factor

x^{4} - 3 x - 2

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

Solution steps

x^{4} - 3 x - 2

Rewrite as

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

Break the expression into groups

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

Factor out common terms

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

Factor

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

15 x^{3} + 3 x^{2} y

(r + 2)^{3}

x^{3} - 1 - 2 x^{2} + 2 x

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

x^{3} + 9 y^{3} + (x + y)^{3}