What is factor 1-3x^2+2x^3 ?

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

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factor 1-3x^2+2x^3

factor

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

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

Solution steps

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

Write in the standard form

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

Use the rational root theorem

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

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

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

Factor

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

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

Apply exponent rule:

aa = a^{2}

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

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

\frac{1}{sin ^{2} ( x )}

csc^{2} (x) - 1

(2 x^{2} + 6 x - 4) (2 x^{2} - 3 x)

81 + 187 + 7

\frac{2}{3} + \frac{1}{4} \cdot \frac{2}{5} - \frac{3}{4} + \frac{5}{2}

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