What is factor 2x^3+7x^2+12x+9 ?

The solution to factor 2x^3+7x^2+12x+9 is (2x+3)(x^2+2x+3)

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factor 2x^3+7x^2+12x+9

factor

2 x^{3} + 7 x^{2} + 12 x + 9

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

Solution steps

2 x^{3} + 7 x^{2} + 12 x + 9

Use the rational root theorem

= (2 x + 3) \frac{2 x ^{3} + 7 x ^{2} + 12 x + 9}{2 x + 3}

\frac{2 x ^{3} + 7 x ^{2} + 12 x + 9}{2 x + 3} = x^{2} + 2 x + 3

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

- 1 < 3 x - 5 \leq 6

27 a^{3} + b^{6}

- 12 x^{5} y^{5} (- 12 x^{3} y^{3})

- 10 (\frac{2}{5})^{3}

\frac{9}{x y} + \frac{x ^{2}}{y}

What is factor 2x^3+7x^2+12x+9 ?
The solution to factor 2x^3+7x^2+12x+9 is (2x+3)(x^2+2x+3)