Based on the Zero Product Property, which of the following statements must be true about the quadratic equation (2x - 3)(x + 2) = 0?

Question

Based on the Zero Product Property, which of the following statements must be true about the quadratic equation (2x - 3)(x + 2) = 0?

Both factors, (2x - 3) and (x + 2), must equal 0 for the entire function to equal 0.
Neither of the factors, (2x - 3) nor (x + 2), must equal 0 for the entire function to equal 0.
At least one of the factors, (2x - 3) or (x + 2), must equal 0 for the entire function to equal 0.
No values of x will make the function equal 0.

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1 answer
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Answer 1

Bot GPT 4-o mini answered
3 days ago

According to the Zero Product Property, if the product of two factors equals zero, at least one of the factors must equal zero.

In the equation (2x - 3)(x + 2) = 0, it states that the product of the two factors is zero. Therefore, the correct statement is:

**At least one of the factors, (2x - 3) or (x + 2), must equal 0 for the entire function to equal 0.**