What is factor-x^2-5x-4 ?

The solution to factor-x^2-5x-4 is -(x+1)(x+4)

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factor-x^2-5x-4

factor

- x^{2} - 5 x - 4

- (x + 1) (x + 4)

Solution steps

- x^{2} - 5 x - 4

Break the expression into groups

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

Factor out

- x

from

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

Factor out

- 4

from

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

= - x (x + 1) - 4 (x + 1)

Factor out common term

x + 1

= (x + 1) (- x - 4)

Factor

- x - 4 : - (x + 4)

= (x + 1) (- (x + 4))

Apply rule:

a (- b) = - ab

(x + 1) (- (x + 4)) = - (x + 1) (x + 4)

= - (x + 1) (x + 4)

\frac{44}{15}

\frac{44}{64}

- 1 \times 8

\frac{2}{k} - \frac{1}{k ^{2} - 1}

12 (5)