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

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

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factor 3x^3+x^2+x-2

factor

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

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

Solution steps

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

Use the rational root theorem

a_{0} = 2, a_{n} = 3

The dividers of

a_{0} : 1, 2,

The dividers of

a_{n} : 1, 3

Therefore, check the following rational numbers:

\pm \frac{1 , 2}{1 , 3}

\frac{2}{3}

is a root of the expression, so factor out

3 x - 2

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

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

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

3 (x - 1) + 7 = 4 x + 2 - 3 (2 - x)

- \frac{1}{3} m + 2 < - 1

x^{2} + 6 x = 72

(- 125)^{\frac{2}{3}}

3 (3 x + 4) = 81

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