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A teacher gave her students the following question as a practice problem to informally assess their understanding of factoring and complex numbers. Problem: Completely factor

A teacher gave her students the following question as a practice problem to informally assess their understanding of factoring and complex numbers.
Problem: Completely factor the polynomial x35x2+3x15x35x2+3x15
Student solution: (x2+3)(x5)(x2+3)(x5)
Which of the following statements should the teacher have included to prompt students into giving the answer as (x+i3)(xi3)(x5)(x+i3)(xi3)(x5), where i=1i=1?

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