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Popular >

factor 4x^3-3x-1

Solution

factor

4 x^{3} - 3 x - 1

Solution

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

Solution steps

4 x^{3} - 3 x - 1

Use the rational root theorem

= (x - 1) \frac{4 x ^{3} - 3 x - 1}{x - 1}

\frac{4 x ^{3} - 3 x - 1}{x - 1} = 4 x^{2} + 4 x + 1

= (x - 1) (4 x^{2} + 4 x + 1)

Factor

4 x^{2} + 4 x + 1 : (2 x + 1) (2 x + 1)

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

Apply exponent rule:

aa = a^{2}

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

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

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Frequently Asked Questions (FAQ)

What is factor 4x^3-3x-1 ?
The solution to factor 4x^3-3x-1 is (x-1)(2x+1)^2