Question

Which statement correctly expresses the Zero-Product Principle?

Options

• If product of two numbers is zero then both of them must be zero.

• If product of two numbers is zero then at least one of them is zero.

• If product of two numbers is non-zero then at least one of them is zero.

• If sum of two numbers is zero then at least one of them is zero.

Answer 1

The Zero-Product Principle states \[ p \times q = 0 \;\Rightarrow\; p = 0 \;\text{ or }\; q = 0 \]. If the product of two numbers is zero, at least one factor must be zero. The other factor may be non-zero, so both need not be zero.