What is factor-3x^2-10x-8 ?

The solution to factor-3x^2-10x-8 is -(3x+4)(x+2)

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factor-3x^2-10x-8

factor

- 3 x^{2} - 10 x - 8

- (3 x + 4) (x + 2)

Solution steps

- 3 x^{2} - 10 x - 8

Break the expression into groups

= (- 3 x^{2} - 4 x) + (- 6 x - 8)

Factor out

- x

from

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

Factor out

- 2

from

- 6 x - 8 : - 2 (3 x + 4)

= - x (3 x + 4) - 2 (3 x + 4)

Factor out common term

3 x + 4

= (3 x + 4) (- x - 2)

Factor

- x - 2 : - (x + 2)

= (3 x + 4) (- (x + 2))

Apply rule:

a (- b) = - ab

(3 x + 4) (- (x + 2)) = - (3 x + 4) (x + 2)

= - (3 x + 4) (x + 2)

\frac{- 9 + x}{10} = - 2

2 \leq 3 - 2 x < 6

- 5 + \frac{x}{4} > 10

(x - 7)^{3} (x + 2)^{2} (x - 13) < 0

2 x^{2} + 8 x - 7 = 0