What is factor 12x^3+8x^2-x-1 ?

The solution to factor 12x^3+8x^2-x-1 is (2x+1)^2(3x-1)

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factor 12x^3+8x^2-x-1

factor

12 x^{3} + 8 x^{2} - x - 1

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

Solution steps

12 x^{3} + 8 x^{2} - x - 1

Use the rational root theorem

= (2 x + 1) \frac{12 x ^{3} + 8 x ^{2} - x - 1}{2 x + 1}

\frac{12 x ^{3} + 8 x ^{2} - x - 1}{2 x + 1} = 6 x^{2} + x - 1

= (2 x + 1) (6 x^{2} + x - 1)

Factor

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

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

Apply exponent rule:

aa = a^{2}

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

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

(h + 2)^{2}

0.2 5^{10}

\frac{90 π}{180}

6 + 2 x

lo g_{3} (3) + lo g_{2} (8)

What is factor 12x^3+8x^2-x-1 ?
The solution to factor 12x^3+8x^2-x-1 is (2x+1)^2(3x-1)