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

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

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

factor

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

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

Solution steps

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

Use the rational root theorem

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

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

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

\frac{9}{- 4 i}

- 3 x^{2} + 6 x + 24

\frac{9}{36}

\frac{1}{3 x - 1} < \frac{2}{x + 5}

- 8 x - 9 = - 6 x + 5

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