Question

When asked to factor the trinomial 9x^2+12x+4, a student gives the answer (3x-2)(3x-2). what is one thing wrong with this answer?

A. There is nothing wrong with the answer
B. 3 is also a factor of this trinomial
C. The factors are not simplified
D. The minus signs should be plus signs

Answer 1

D is correct

Step-by-step explanation:

Answer 2

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

`9x^2+12x+4=0`

When we split the middle term, we get

`9x^2+12x+4=0\\\\9x^2+6x+6x+4=0\\\\3x(3x+2)+2(3x+2)=0\\\\(3x+2)(3x+2)=0`

Since that student gives the answer i.e. (3x+2)(3x+2)

So, Option 'D' is correct, which says that the minus signs should be plus signs.

Hence, Option 'D' is correct.