What is the factored form of x2 – x – 2?

(x – 2)(x + 1)
(x + 2)(x + 1)
(x – 2)(x – 1)
(x + 2)(x – 1)What is the factored form of x2 – x – 2?

(x – 2)(x + 1)
(x + 2)(x + 1)
(x – 2)(x – 1)
(x + 2)(x – 1)

Respuesta :

(x - 2) (x + 1)

Step-by-step explanation:

ax² + bx + c = 0

a = 1

b = 1

c = -2

p × q = c

-2 × 1 = -2

p + q = b

-2 + 1 = -1

Factored Form :

(x + p)(x + q)

(x - 2)(x + 1)

So, the factored form of x² - x - 2 is (x - 2) (x - 1)

Semoga membantu dan bermanfaat :)

The factored form of [tex]x^2-x-2[/tex] is: (x-2)(x+1)

We factor -2 so that the sum of the factors is -1.

Such factors are -2 and 1.

[tex]x^2-x-2\\=x^2-2x+x-2\\=x(x-2)+1(x-2)\\=(x-2)(x+1)\\[/tex]

The factored form of [tex]x^2-x-2[/tex] is: (x-2)(x+1)

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