What is factor x^4-2x^3-13x^2+38x-24 ?

The solution to factor x^4-2x^3-13x^2+38x-24 is (x-1)(x-2)(x-3)(x+4)

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factor x^4-2x^3-13x^2+38x-24

factor

x^{4} - 2 x^{3} - 13 x^{2} + 38 x - 24

(x - 1) (x - 2) (x - 3) (x + 4)

Solution steps

x^{4} - 2 x^{3} - 13 x^{2} + 38 x - 24

Use the rational root theorem

= (x - 1) \frac{x ^{4} - 2 x ^{3} - 13 x ^{2} + 38 x - 24}{x - 1}

\frac{x ^{4} - 2 x ^{3} - 13 x ^{2} + 38 x - 24}{x - 1} = x^{3} - x^{2} - 14 x + 24

= (x - 1) (x^{3} - x^{2} - 14 x + 24)

Factor

x^{3} - x^{2} - 14 x + 24 : (x - 2) (x - 3) (x + 4)

= (x - 1) (x - 2) (x - 3) (x + 4)

320 \div 40

6 \times e^{12.75 \times 0.8}

\frac{1}{1} + x

- 1 - - 8 + 4 - - 8

What is factor x^4-2x^3-13x^2+38x-24 ?
The solution to factor x^4-2x^3-13x^2+38x-24 is (x-1)(x-2)(x-3)(x+4)