34. A math teacher is giving students a worksheet in which they must identify the zeros of three quadratic polynomials and show their work. The corresponding standard is, 'identify zeros of polynomials.'

Answer: C

Explanation:

Students will use factoring to identify the zeros of quadratic polynomials with 80% accuracy.

This option directly aligns with the standard of identifying zeros of polynomials, as it specifies the method students will use, which is factoring, and sets a measurable accuracy goal.

A) Given the zeros of a quadratic polynomial, students will write the expression for the polynomial.

This option is incorrect because it focuses on writing the polynomial expression based on given zeros, rather than identifying the zeros themselves. The task at hand is to find the zeros, not to reconstruct the polynomial.

B) When given a real-world problem, students will create a quadratic polynomial model four out of five.

This option is also incorrect. While it references quadratic polynomials, it shifts the focus to modeling real-world problems instead of directly identifying the zeros of existing polynomials, which is the requirement of the standard.

C) Given a list of quadratic polynomials, students will use factoring to identify the zeros, if any, with 80% accuracy.

This option is correct as it explicitly states the task of identifying zeros through the method of factoring. It meets the standard by specifying both the process and an accuracy benchmark, which is crucial for assessment.

D) When given a quadratic polynomial and a value, students will determine if the value is a zero.

This option is incorrect as it pertains to checking whether a specific value is a zero rather than identifying all possible zeros of the polynomial. While related, it does not meet the standard of identifying zeros comprehensively.

Conclusion

Option C is definitively correct as it encapsulates the primary objective of the standard—identifying zeros of polynomials—through the specified method of factoring and includes an accuracy metric. The other options either misinterpret the task or shift the focus away from identifying zeros, thereby failing to meet the standard requirements.