Respuesta :

Answer:

(x + 1)(x + 2)

Step-by-step explanation:

[tex] {x}^{2} + 3x + 2 \\ = {x}^{2} + 2x + x + 2 \\ = x(x + 2) + 1(x + 2) \\ = (x + 2)(x + 1)[/tex]

The factor of the given equation should be (x +1) (x+2)

Calculation of the factor:

Since the equation is [tex]x^2+3x+2[/tex]

So,

[tex]x^2+3x+2\\\\x^2+x+2x+2[/tex]

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

(x +1) (x+2)

hence, we can conclude that The factor of the given equation should be (x +1) (x+2)

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