What is factor+x^3-2x^2-13x-10 ?

The solution to factor+x^3-2x^2-13x-10 is (x+1)(x+2)(x-5)

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factor+x^3-2x^2-13x-10

factor

+ x^{3} - 2 x^{2} - 13 x - 10

(x + 1) (x + 2) (x - 5)

Solution steps

x^{3} - 2 x^{2} - 13 x - 10

Use the rational root theorem

= (x + 1) \frac{x ^{3} - 2 x ^{2} - 13 x - 10}{x + 1}

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

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

Factor

x^{2} - 3 x - 10 : (x + 2) (x - 5)

= (x + 1) (x + 2) (x - 5)

2 x \times (- 5)

x^{2} - 16 + 64

- x^{4} + 10 x^{2} + 8 x - 8

15 \times \frac{2}{3}

What is factor+x^3-2x^2-13x-10 ?
The solution to factor+x^3-2x^2-13x-10 is (x+1)(x+2)(x-5)