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

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

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

factor

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

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

Solution steps

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

Add similar elements:

- 3 x^{2} - x^{2} = - 4 x^{2}

= x^{3} - 4 x^{2} - 10 x + 3 x + 10

Add similar elements:

- 10 x + 3 x = - 7 x

= x^{3} - 4 x^{2} - 7 x + 10

Use the rational root theorem

= (x - 1) \frac{x ^{3} - 4 x ^{2} - 7 x + 10}{x - 1}

\frac{x ^{3} - 4 x ^{2} - 7 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)

a^{3} - 4 a^{2} - 9 a + 36

3 y^{2} + 8 y - 3

8 c - 50 = - 2 c - 10

5 ∣ x + 9 ∣ - 2 = 0

- 4 = - ∣ t - 3 ∣ - 2

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