Question

Which of the binomials below is a factor of this trinomial?

9х2 + 12х+4
А. 3х - 1
в. 3x-2
С. 3x +2
D. 3x +1

Answer 1

Answer: С. 3x +2

Explanation:

We have the following trinomial, which is also known as perfect square trinomial, because the first and the third term are squares:

`9x^(2)+12x+4` (1)

First term:
`9x^(2)={(3x)}^(2)`

Third term:
`4=2^(2)`

If we factorize this expression we have:

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

As we can see, the trinomial (1) has two factors:

`(3x+2)` and
`(3x+2)`

Therefore, the correct option is C.