Question

Write 3x, 6y, and 15z as the product of two factors.

A) 3(x), 6(y), 15(z)
B) 3x, 2(3y), 5(3z)
C) 1(3x), 2(3y), 3(5z)
D) 3(1x), 2(3y), 3(5z)

Answer 1

The correct option for writing the expressions 3x, 6y, and 15z as the product of two factors is B) 3x, 2(3y), 5(3z), as it correctly represents each term as a multiplication of two factors.

Step-by-step explanation:

The question 'Write 3x, 6y, and 15z as the product of two factors' requires us to express each term as a multiplication of two numbers or expressions.

Looking at the term 3x, it is already the product of 3 and x. For the term 6y, we can break down 6 into 2 and 3, so 6y would be expressed as 2(3y). Similary, the term 15z can be written as 5(3z), where 15 is broken down into 5 and 3. This gives us the products of two factors for each term.

Combining this understanding, the correct option is B) 3x, 2(3y), 5(3z) since this option shows each original term as the product of two factors.