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

The solution to factor-8x^3-2x^2-12x-3 is -(4x+1)(2x^2+3)

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

factor

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

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

Solution steps

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

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

Factor out

- 2 x^{2}

from

- 8 x^{3} - 2 x^{2} : - 2 x^{2} (4 x + 1)

Factor out

- 3

from

- 12 x - 3 : - 3 (4 x + 1)

= - 2 x^{2} (4 x + 1) - 3 (4 x + 1)

Factor out common term

4 x + 1

= (4 x + 1) (- 2 x^{2} - 3)

Factor

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

= (4 x + 1) (- (2 x^{2} + 3))

Apply rule:

a (- b) = - ab

(4 x + 1) (- (2 x^{2} + 3)) = - (4 x + 1) (2 x^{2} + 3)

= - (4 x + 1) (2 x^{2} + 3)

\frac{1 - 2}{2}

\frac{12 - 4 x}{x - 3}

\frac{x ^{2} - 2 x - 24}{x ^{2} - 36}

lo g_{2} (32768)

\frac{x - 5}{x ^{2} - 8 x + 15}

What is factor-8x^3-2x^2-12x-3 ?
The solution to factor-8x^3-2x^2-12x-3 is -(4x+1)(2x^2+3)