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?

Question

3 years ago

14

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

Mathematics

2 answers:

Alex17521 [72] · Answer 1 · 2021-11-28T01:12:55+03:00

Alex17521 [72]3 years ago

5 0

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

Gre4nikov [31] · Answer 2 · 2021-11-28T03:10:23+03:00

Answer:

B. 6 is also a factor of this trinomial.

Step-by-step explanation:

We have been given a trinomial $6x^2-18x+12$ . 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.

$6x^2-18x+12$

$6x^2-12x-6x+12$

$6x(x-2)-6(x-2)$

$(6x-6)(x-2)$

$6(x-1)(x-2)$

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