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

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

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

factor

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

(3 x - 2) (x + 1) (x - 1)

Solution steps

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

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

Factor out

x^{2}

from

3 x^{3} - 2 x^{2} : x^{2} (3 x - 2)

Factor out

- 1

from

- 3 x + 2 : - (3 x - 2)

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

Factor out common term

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

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

Factor

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

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

(3 sin (θ))^{2}

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

x^{2} + 16 + 64

\frac{64}{32}

7 \cdot 11

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