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)

\frac{17 !}{( 17 - 4 ) ! \cdot 4 !}

\frac{- 6}{10}

x^{2}

3 = - \frac{5}{4} (4) + b

x^{2} > 3 - 4 x

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)