Question
Use the table to answer the question.
(x+3)(x+4)=0
x−3=0 x+4=0
x=3 x=−4
While using the Zero Product Property to find the values of x that make the quadratic equation (x+3)(x+4) equals 0, Oliver completed the work provided in the table. Is Oliver’s work accurate?(1 point)
Responses
No, he should have a third column where he should set x=0.
No, he should have a third column where he should set x equals 0 .
No, x−3=0 in the second row should be x+3=0.
No, x minus 3 equals 0 in the second row should be x plus 3 equals 0 .
No, x+4=0 in the second row should be x−4=0.
No, x plus 4 equals 0 in the second row should be x minus 4 equals 0 .
Yes, the work is accurate.
(x+3)(x+4)=0
x−3=0 x+4=0
x=3 x=−4
While using the Zero Product Property to find the values of x that make the quadratic equation (x+3)(x+4) equals 0, Oliver completed the work provided in the table. Is Oliver’s work accurate?(1 point)
Responses
No, he should have a third column where he should set x=0.
No, he should have a third column where he should set x equals 0 .
No, x−3=0 in the second row should be x+3=0.
No, x minus 3 equals 0 in the second row should be x plus 3 equals 0 .
No, x+4=0 in the second row should be x−4=0.
No, x plus 4 equals 0 in the second row should be x minus 4 equals 0 .
Yes, the work is accurate.
Answers
Answer
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)
Responses
Both factors, (2x−3) or (x+2), must equal 0 for the entire function to equal 0.
Both factors, left parenthesis 2 x minus 3 right parenthesis or left parenthesis x plus 2 right parenthesis , must equal 0 for the entire function to equal 0.
No values of x will make the function equal 0.
No values of x will make the function equal 0.
Neither of the factors, (2x−3) or (x+2), must equal 0 for the entire function to equal 0.
Neither of the factors, left parenthesis 2 x minus 3 right parenthesis or left parenthesis x plus 2 right parenthesis , 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.
Responses
Both factors, (2x−3) or (x+2), must equal 0 for the entire function to equal 0.
Both factors, left parenthesis 2 x minus 3 right parenthesis or left parenthesis x plus 2 right parenthesis , must equal 0 for the entire function to equal 0.
No values of x will make the function equal 0.
No values of x will make the function equal 0.
Neither of the factors, (2x−3) or (x+2), must equal 0 for the entire function to equal 0.
Neither of the factors, left parenthesis 2 x minus 3 right parenthesis or left parenthesis x plus 2 right parenthesis , 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.
Answered by
GPT-4o mini
Oliver's work contains an error in the second row. The factor should be \(x + 3 = 0\) instead of \(x - 3 = 0\). Therefore, the correct response is:
**No, x−3=0 in the second row should be x+3=0.**
**No, x−3=0 in the second row should be x+3=0.**
Answered by
GPT-4o mini
Based on the Zero Product Property, at least one of the factors must equal 0 for the entire function to equal 0. 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.**
**At least one of the factors, (2x−3) or (x+2), must equal 0 for the entire function to equal 0.**
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