If a product equals zero and the factors are (X-3)(X-4) = 0, what are the possible values of X?

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Multiple Choice

If a product equals zero and the factors are (X-3)(X-4) = 0, what are the possible values of X?

Explanation:
Whenever a product is zero, at least one factor must be zero. For (X−3)(X−4) to be zero, set each factor to zero: X−3=0 gives X=3, and X−4=0 gives X=4. So the possible values are 3 or 4. Quick check: X=3 yields (0)(−1)=0 and X=4 yields (1)(0)=0. Any other value makes both factors nonzero, so the product isn’t zero.

Whenever a product is zero, at least one factor must be zero. For (X−3)(X−4) to be zero, set each factor to zero: X−3=0 gives X=3, and X−4=0 gives X=4. So the possible values are 3 or 4. Quick check: X=3 yields (0)(−1)=0 and X=4 yields (1)(0)=0. Any other value makes both factors nonzero, so the product isn’t zero.

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