What is factor 6x^3+23x^2+9x-18 ?

The solution to factor 6x^3+23x^2+9x-18 is (3x-2)(2x+3)(x+3)

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factor 6x^3+23x^2+9x-18

factor

6 x^{3} + 23 x^{2} + 9 x - 18

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

Solution steps

6 x^{3} + 23 x^{2} + 9 x - 18

Use the rational root theorem

= (3 x - 2) \frac{6 x ^{3} + 23 x ^{2} + 9 x - 18}{3 x - 2}

\frac{6 x ^{3} + 23 x ^{2} + 9 x - 18}{3 x - 2} = 2 x^{2} + 9 x + 9

= (3 x - 2) (2 x^{2} + 9 x + 9)

Factor

2 x^{2} + 9 x + 9 : (2 x + 3) (x + 3)

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

x (2 x^{2} - 8)

(5) (- 3) (4) (- 9) (1)

\frac{y ^{4}}{y ^{3}}

(2 x - 3) (5 x + 1)

What is factor 6x^3+23x^2+9x-18 ?
The solution to factor 6x^3+23x^2+9x-18 is (3x-2)(2x+3)(x+3)