What is factor-x^2-13x-40 ?

The solution to factor-x^2-13x-40 is -(x+5)(x+8)

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Factor -x^2-13x-40

factor

- x^{2} - 13 x - 40

- (x + 5) (x + 8)

Solution steps

- x^{2} - 13 x - 40

Break the expression into groups

= (- x^{2} - 5 x) + (- 8 x - 40)

Factor out

- x

from

- x^{2} - 5 x : - x (x + 5)

Factor out

- 8

from

- 8 x - 40 : - 8 (x + 5)

= - x (x + 5) - 8 (x + 5)

Factor out common term

x + 5

= (x + 5) (- x - 8)

Factor

- x - 8 : - (x + 8)

= (x + 5) (- (x + 8))

Apply rule:

a (- b) = - ab

(x + 5) (- (x + 8)) = - (x + 5) (x + 8)

= - (x + 5) (x + 8)

32/8

x, ∣ x ∣ = 4

x, ∣ x - 4 ∣ = 2

\frac{3}{7}

16 - (- 6)