What is factor-3x^2-4x-1 ?

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

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factor-3x^2-4x-1

factor

- 3 x^{2} - 4 x - 1

- (3 x + 1) (x + 1)

Solution steps

- 3 x^{2} - 4 x - 1

Break the expression into groups

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

Factor out

- x

from

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

Factor out

- 1

from

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

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

Factor out common term

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

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

Factor

- x - 1 : - (x + 1)

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

Apply rule:

a (- b) = - ab

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

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

10 = \frac{p}{10}

12 x^{2} + 25 x + 12 = 0

(x + 5)^{2} = - 36

14 = \frac{a}{2}

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