Final answer:
In the expression 12x² - 6x + 5z - 2y + 8, the coefficients are the numerical factors multiplying the variables. These are 12, -6, 5, -2, and the number 8, which is a constant coefficient. The correct answer to the question is Option A.
Step-by-step explanation:
The question asks for the identification of the coefficients in the given algebraic expression. In the expression 12x² - 6x + 5z - 2y + 8, coefficients are the numerical factors that multiply the variables. To identify the coefficients, we look for the numbers that are directly multiplying each variable term.
Let's analyze each term:
- For 12x², the coefficient is 12.
- For -6x, the coefficient is -6.
- For 5z, the coefficient is 5.
- For -2y, the coefficient is -2.
- Finally, the constant term 8 does not have a variable, but it is still considered a coefficient in the expression.
Therefore, the coefficients in the given algebraic expression are 12, -6, 5, -2, and 8. The correct option that lists these coefficients is A. 12, -6, 5, -2, 8.