Question

Factor this trinomial completely.

12x2 + 8x - 15
A. (3x + 3)(4x – 5)
B. (2x + 5)(6x-3)
C. (2x+3)(6x – 5)
D. (3x + 5)(4x – 3)

Answer 1

Option C. (2x+3)(6x – 5) is the correct answer.

Explanation:

Given polynomial(trinomial) is:

`12x^2 + 8x - 15`

The given trinomial is quadratic. Factorization will be as follows:

Multiplying the co-efficient of x^2 and the constant results in 180. We have to make factors of 180 in such a way that their sum of difference is equal to the co-efficient of x.

The required factors are 18 and 10

So,

`=12x^2+18x-10x-15\\=6x(2x+3)-5(2x+3)\\= (6x-5)(2x+3)`

Hence,

Option C. (2x+3)(6x – 5) is the correct answer.