What is factor-2x^3-4x^2-3x-6 ?

The solution to factor-2x^3-4x^2-3x-6 is -(x+2)(2x^2+3)

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factor-2x^3-4x^2-3x-6

factor

- 2 x^{3} - 4 x^{2} - 3 x - 6

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

Solution steps

- 2 x^{3} - 4 x^{2} - 3 x - 6

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

Factor out

- 2 x^{2}

from

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

Factor out

- 3

from

- 3 x - 6 : - 3 (x + 2)

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

Factor out common term

x + 2

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

Factor

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

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

Apply rule:

a (- b) = - ab

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

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

- 6 p - 6

3 ∣ y ∣ + 7 > 1

28 = 14 + 2 x^{2}

5 - (7 - 2 x) = 3 (x - 5)

30 = 0.1978 x + 19.126

What is factor-2x^3-4x^2-3x-6 ?
The solution to factor-2x^3-4x^2-3x-6 is -(x+2)(2x^2+3)