Final answer:
To factorize the corrected expression 12x^2 + 5x - 2 into the form (ax + b)(cx + d), the correct values for a, b, c, and d would be 4, -1, 3, and 2 respectively. Adding these together gives us (4 - 1 + 3 + 2) which equals 8.
Step-by-step explanation:
The given expression 12x^2+5-2 appears to be a quadratic polynomial. However, before we proceed with factoring, it's important to correct the expression, as there seems to be a typo or a formatting error. Assuming the correct form is 12x^2 + 5x - 2, we can factorize it using various methods such as grouping, trial and error, or the quadratic formula.
Unfortunately, with the given values of a, b, and c in the solution, it doesn't align with the initial expression provided, which seems to be part of a quadratic equation. To factorize the expression 12x^2 + 5x - 2 into the form (ax + b)(cx + d), we would look for two numbers that multiply to -24 (the coefficient of x^2 times the constant term) and add up to 5 (the coefficient of x). These numbers are 8 and -3.
Thus, the expression can be factorized as (4x - 1)(3x + 2). By substituting values, a = 4, b = -1, c = 3, and d = 2, we can find the sum of these coefficients to determine the value of (a+b+c+d).
Calculating the sum: 4 - 1 + 3 + 2 = 8. Therefore, the sum of the coefficients a, b, c, and d is 8.