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What is the factorization of the trinomial below?
x2 - 6x + 5
O A. (X - 4)(x - 2)
O B. (X - 5)(x - 1)
O C. (x + 4)(x - 2)
O D. (x + 5)(x - 1)

Respuesta :

B. [tex](x - 5)(x - 1)[/tex] ✅

Step-by-step explanation:

[tex] {x}^{2} - 6x + 5 \\ \\ = \:{x}^{2} - 5x - x + 5 [/tex]

Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have

[tex] =\: x(x - 5) - 1(x - 5)[/tex]

Taking the factor [tex](x-5)[/tex] as common,

[tex]=\:(x - 5)(x - 1)[/tex]

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