What is factor 6x^3+13x^2+x-2 ?

The solution to factor 6x^3+13x^2+x-2 is (2x+1)(3x-1)(x+2)

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factor 6x^3+13x^2+x-2

factor

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

(2 x + 1) (3 x - 1) (x + 2)

Solution steps

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

Use the rational root theorem

= (2 x + 1) \frac{6 x ^{3} + 13 x ^{2} + x - 2}{2 x + 1}

\frac{6 x ^{3} + 13 x ^{2} + x - 2}{2 x + 1} = 3 x^{2} + 5 x - 2

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

Factor

3 x^{2} + 5 x - 2 : (3 x - 1) (x + 2)

= (2 x + 1) (3 x - 1) (x + 2)

x^{18} - y^{18}

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

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

(3 a - 7 b - c)^{2}

\frac{s}{s ( s ^{2} + 4 ) ^{2}}

What is factor 6x^3+13x^2+x-2 ?
The solution to factor 6x^3+13x^2+x-2 is (2x+1)(3x-1)(x+2)