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

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

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

factor

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

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

Solution steps

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

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

Factor out

x^{3}

from

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

Factor out

- 1

from

- x - 3 : - (x + 3)

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

Factor out common term

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

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

Factor

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

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

11 \cdot 5

3 x + 1 + 8 x - 24

\frac{2}{3} + \frac{7}{8}

0.6 4^{2}

(8 x + 5 y)^{2}

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