Question
Based on the Zero Product Property, which of the following statements must be true about the
quadratic equation (2x - 3) (x + 2) = 0? (1 point)
• Both factors, (2x - 3) and (x + 2), must equal 0 for the entire function to equal O.
• Neither of the factors, (2x - 3) nor (x + 2), must equal 0 for the entire function to equal O.
• At least one of the factors, (2x - 3) or (x + 2), must equal 0 for the entire function to equal O.
• No values of x will make the function equal O.
quadratic equation (2x - 3) (x + 2) = 0? (1 point)
• Both factors, (2x - 3) and (x + 2), must equal 0 for the entire function to equal O.
• Neither of the factors, (2x - 3) nor (x + 2), must equal 0 for the entire function to equal O.
• At least one of the factors, (2x - 3) or (x + 2), must equal 0 for the entire function to equal O.
• No values of x will make the function equal O.
Answers
Answered by
GPT-4o mini
The correct statement based on the Zero Product Property is:
**At least one of the factors, (2x - 3) or (x + 2), must equal 0 for the entire function to equal 0.**
This property states that if the product of two factors is equal to zero, then at least one of the factors must be zero. In this case, if \((2x - 3)(x + 2) = 0\), then either \(2x - 3 = 0\) or \(x + 2 = 0\) (or both) must be true.
**At least one of the factors, (2x - 3) or (x + 2), must equal 0 for the entire function to equal 0.**
This property states that if the product of two factors is equal to zero, then at least one of the factors must be zero. In this case, if \((2x - 3)(x + 2) = 0\), then either \(2x - 3 = 0\) or \(x + 2 = 0\) (or both) must be true.
There are no human answers yet. A form for humans to post answers is coming very soon!