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

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

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factor-x^2-4x-3

factor

- x^{2} - 4 x - 3

- (x + 1) (x + 3)

Solution steps

- x^{2} - 4 x - 3

Break the expression into groups

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

Factor out

- x

from

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

Factor out

- 3

from

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

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

Factor out common term

x + 1

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

Factor

- x - 3 : - (x + 3)

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

Apply rule:

a (- b) = - ab

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

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

- 4 x^{4} - 8 x^{3}

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