Imagine you are writing questions for an algebra course. You want to write questions that include...

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Imagine you are writing questions for an algebra course. Youwant to write questions that include finding the zeros ofpolynomials. To balance the difficulty level of the test’squestions, you decide to include two different types of questions,as described here:

  • Question #1: A polynomial of degree at least 3 where all thezeros are positive whole numbers
  • Question #2: A polynomial of degree at least 3 where one ormore of the roots are fractions

Find two polynomials for the two described questions. Explainhow you know each question satisfies the requirements stated. Whatapproach did you use to find these polynomials?

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