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)

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

Step-by-step explanation:

Given polynomial(trinomial) is:

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,

Hence,

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

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c