What is factor 2x^3+5x^2+15x+18 ?

The solution to factor 2x^3+5x^2+15x+18 is (2x+3)(x^2+x+6)

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factor 2x^3+5x^2+15x+18

factor

2 x^{3} + 5 x^{2} + 15 x + 18

(2 x + 3) (x^{2} + x + 6)

Solution steps

2 x^{3} + 5 x^{2} + 15 x + 18

Use the rational root theorem

= (2 x + 3) \frac{2 x ^{3} + 5 x ^{2} + 15 x + 18}{2 x + 3}

\frac{2 x ^{3} + 5 x ^{2} + 15 x + 18}{2 x + 3} = x^{2} + x + 6

= (2 x + 3) (x^{2} + x + 6)

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What is factor 2x^3+5x^2+15x+18 ?
The solution to factor 2x^3+5x^2+15x+18 is (2x+3)(x^2+x+6)