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When asked to factor the trinomial 6x^2-18x+12, a student gives the answer (x-2)(x-1). What is one thing wrong with this answer? A. There is nothing wrong with the answer B. 6 is also a factor of this trinomial C. The factors are not simplified D. The minus signs should be plus signs

Respuesta :

The correct answer is B because 6 needs to be included.

Answer:

B. 6 is also a factor of this trinomial.

Step-by-step explanation:

We have been given a trinomial [tex]6x^2-18x+12[/tex]. A student gives the answer (x-2)(x-1).

To figure out student's mistake, let us factor our given trinomial by splitting the middle term.  

[tex]6x^2-18x+12[/tex]    

[tex]6x^2-12x-6x+12[/tex]    

[tex]6x(x-2)-6(x-2)[/tex]    

[tex](6x-6)(x-2)[/tex]    

[tex]6(x-1)(x-2)[/tex]  

Therefore, 6 is also a factor of our given trinomial and option B is the correct choice.

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