What is factor x^3+5x^2+2x-8 ?

The solution to factor x^3+5x^2+2x-8 is (x-1)(x+2)(x+4)

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factor x^3+5x^2+2x-8

factor

x^{3} + 5 x^{2} + 2 x - 8

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

Solution steps

x^{3} + 5 x^{2} + 2 x - 8

Use the rational root theorem

= (x - 1) \frac{x ^{3} + 5 x ^{2} + 2 x - 8}{x - 1}

\frac{x ^{3} + 5 x ^{2} + 2 x - 8}{x - 1} = x^{2} + 6 x + 8

= (x - 1) (x^{2} + 6 x + 8)

Factor

x^{2} + 6 x + 8 : (x + 2) (x + 4)

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

- 5 (- 4 x - 1) - 4 x = - 5 x + 5

28 n^{2} + 184 n + 96

z = - 5 + 7 (\frac{8}{5})

8 k^{2} + 8 k + 2 = 0

What is factor x^3+5x^2+2x-8 ?
The solution to factor x^3+5x^2+2x-8 is (x-1)(x+2)(x+4)