What is factor 3x^3-2x^2+5x+2 ?

The solution to factor 3x^3-2x^2+5x+2 is (3x+1)(x^2-x+2)

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factor 3x^3-2x^2+5x+2

factor

3 x^{3} - 2 x^{2} + 5 x + 2

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

Solution steps

3 x^{3} - 2 x^{2} + 5 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{1}{3}

is a root of the expression, so factor out

3 x + 1

= (3 x + 1) \frac{3 x ^{3} - 2 x ^{2} + 5 x + 2}{3 x + 1}

\frac{3 x ^{3} - 2 x ^{2} + 5 x + 2}{3 x + 1} = x^{2} - x + 2

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

x^{2} + 6 x - 1 > 6

125 - m^{3}

1 + a^{7}

180 \cdot \frac{π}{180}

(8 - 10 i) - (- 16 + 2 i)

What is factor 3x^3-2x^2+5x+2 ?
The solution to factor 3x^3-2x^2+5x+2 is (3x+1)(x^2-x+2)