What is factor 3x^3-4x^2-7x-2 ?

The solution to factor 3x^3-4x^2-7x-2 is (3x+2)(x^2-2x-1)

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factor 3x^3-4x^2-7x-2

factor

3 x^{3} - 4 x^{2} - 7 x - 2

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

Solution steps

3 x^{3} - 4 x^{2} - 7 x - 2

Use the rational root theorem

= (3 x + 2) \frac{3 x ^{3} - 4 x ^{2} - 7 x - 2}{3 x + 2}

\frac{3 x ^{3} - 4 x ^{2} - 7 x - 2}{3 x + 2} = x^{2} - 2 x - 1

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

\frac{- 12 + - 45}{24}

\frac{1042 - 214}{5}

520 + 24 - 180 + 754

- \frac{1}{4} (- 5)

\frac{2 x - 6}{x + 4} > 0

What is factor 3x^3-4x^2-7x-2 ?
The solution to factor 3x^3-4x^2-7x-2 is (3x+2)(x^2-2x-1)