Final answer:
Option (A) 2 and 3 are the correct pair of numbers, as they multiply together to form the coefficient 6. The multiplication is 2 x 3 = 6.
Step-by-step explanation:
The student asks how two numbers combine to form the coefficient 6, specifically in front of an algebraic term such as X. To clarify, when factoring expressions or working with coefficients in polynomials, it is often necessary to find a pair of numbers that both multiply to give a specific product and add or subtract to give a sum that corresponds to the coefficient of a term.
In this case, we're looking for two numbers that multiply together to give 6. The options presented are (A) 2 and 3, (B) 4 and 2, (C) 6 and 1, and (D) 5 and 1. Using multiplication, we can determine that the numbers in option (A) 2 and 3 when multiplied give 2 x 3 = 6. Therefore, these two numbers combine to form the coefficient of X, which is 6. The other options do not multiply to give 6 as the product.