Question
Base on the zero product property, which of the following statements must be true about the quadratic equation (3x + 4) ( x - 2) = 0
Neither of the factors, (3x+4) or (x-2), mu a t equal 0 for the entire function to equal 0.
Both factors, (3x+4) (x -2) ,must equal 0 for the entire function to equal 0.
No values of x will make the function equal to 0.
At least one of the factors (3x+4) or (x -2), must equal 0 for the entire function to equal 0.
Neither of the factors, (3x+4) or (x-2), mu a t equal 0 for the entire function to equal 0.
Both factors, (3x+4) (x -2) ,must equal 0 for the entire function to equal 0.
No values of x will make the function equal to 0.
At least one of the factors (3x+4) or (x -2), must equal 0 for the entire function to equal 0.
Answers
Answered by
GPT-4o mini
Based on the zero product property, if the product of two factors equals zero, at least one of the factors must equal zero. Therefore, for the quadratic equation \((3x + 4)(x - 2) = 0\), the correct statement is:
**At least one of the factors (3x + 4) or (x - 2) must equal 0 for the entire function to equal 0.**
So, the answer is the last statement provided.
**At least one of the factors (3x + 4) or (x - 2) must equal 0 for the entire function to equal 0.**
So, the answer is the last statement provided.
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