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Polynomials Review Questions

This set of review questions covers a variety of topics related to polynomials, including writing in standard form, classifying by degree and number of terms, dividing using long and synthetic division, using the Rational Root Theorem, finding roots analytically, stating zeros and graphical behavior, expanding binomials, and determining functions with transformations.

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Polynomials Review Questions

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  1. Chapter 2 Review Polynomials

  2. Question #1 Write in standard form. Then classify it by degree and number of terms and state end behavior.

  3. Question #2 Write a polynomial function in standard form with the zeros .

  4. Question #3 Divide using long division.

  5. Question #4 Divide using synthetic division.

  6. Question #5 Use the Rational Root Theorem to list the potential rational roots of Then find any rational roots.

  7. Question #6 Find all the roots of analytically.

  8. Question #7 State the zeros, multiplicity, and graphical behavior at the zeros of the function

  9. Question #8 State the zeros, multiplicity, and graphical behavior at the zeros of the function

  10. Question #9 Expand the binomial

  11. Question #10 Determine a cubic function with the transformations; reflection over x-axis, vertical shrink ½ , down 3.

  12. Question #11 The number of pairs of shoes Emily buys varies directly as the square of the area of the floor of her closet. If she can fit 12 pairs of shoes when her closet was 10 square feet, how many pairs of shoes will she fit when the area of her closet floor is 18 square feet?

  13. Question #12 Write in standard form. Then classify it by degree and number of terms and state end behavior.

  14. Question #13 Write a polynomial function in standard form with the zeros

  15. Question #14 Divide using long division.

  16. Question #15 Divide using synthetic division.

  17. Question #16 Use the Rational Root Theorem to list the potential rational roots of Then find any rational roots.

  18. Question #17 Find all the roots of analytically.

  19. Question #18 State the zeros, multiplicity, and graphical behavior at the zeros of the function

  20. Question #19 Expand the binomial

  21. Question #20 Determine a quartic function with the transformations; vertical stretch of 2, down 3, right 4.

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