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Popular >

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

Solution

factor

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

Solution

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

Solution steps

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)

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Frequently Asked Questions (FAQ)

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