What is factor x^4-2x^3-13x^2+14x+24 ?

The solution to factor x^4-2x^3-13x^2+14x+24 is (x+1)(x-2)(x+3)(x-4)

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factor x^4-2x^3-13x^2+14x+24

factor

x^{4} - 2 x^{3} - 13 x^{2} + 14 x + 24

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

Solution steps

x^{4} - 2 x^{3} - 13 x^{2} + 14 x + 24

Use the rational root theorem

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

\frac{x ^{4} - 2 x ^{3} - 13 x ^{2} + 14 x + 24}{x + 1} = x^{3} - 3 x^{2} - 10 x + 24

= (x + 1) (x^{3} - 3 x^{2} - 10 x + 24)

Factor

x^{3} - 3 x^{2} - 10 x + 24 : (x - 2) (x + 3) (x - 4)

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

(3 x + 5) (2 x - 3)

\frac{1 + sin ( θ )}{cos ( θ )} + \frac{cos ( θ )}{1 + sin ( θ )}

\frac{\frac{2}{2}}{2}

\frac{x ^{3} - 9 x}{3 x ^{2} - 6 x - 9}

12 + 3

What is factor x^4-2x^3-13x^2+14x+24 ?
The solution to factor x^4-2x^3-13x^2+14x+24 is (x+1)(x-2)(x+3)(x-4)