What is factor x^3-3x^2+2x-60 ?

The solution to factor x^3-3x^2+2x-60 is (x-5)(x^2+2x+12)

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factor x^3-3x^2+2x-60

factor

x^{3} - 3 x^{2} + 2 x - 60

(x - 5) (x^{2} + 2 x + 12)

Solution steps

x^{3} - 3 x^{2} + 2 x - 60

Use the rational root theorem

= (x - 5) \frac{x ^{3} - 3 x ^{2} + 2 x - 60}{x - 5}

\frac{x ^{3} - 3 x ^{2} + 2 x - 60}{x - 5} = x^{2} + 2 x + 12

= (x - 5) (x^{2} + 2 x + 12)

1440

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

3^{2} + 4^{2} = c^{2}

5 b^{2} + 5 b

512 x^{3} - 729 y^{3}

What is factor x^3-3x^2+2x-60 ?
The solution to factor x^3-3x^2+2x-60 is (x-5)(x^2+2x+12)