Find the value of `m` for which the expressiion `12x^(2)-10xy+2y^(2)+11x-5y+m` can be resolved into two rational linear factors.

Explanation

To find the value of \( m \) for which the expression \( 12x^2 - 10xy + 2y^2 + 11x - 5y + m \) can be resolved into two rational linear factors, we will follow these steps:

### Step 1: Identify coefficients
We start by identifying the coefficients of the given expression in the standard form \( ax^2 + bxy + cy^2 + dx + ey + f \):
- \( a = 12 \)
- \( b = -10 \)
- \( c = 2 \)
- \( d = 11 \)
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