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Factoring polynomials practice

A classroom material for practicing factoring polynomials at the 9th-grade level, focusing on GCF, trinomials, and difference of squares. Students analyze questions such as identifying the GCF, selecting correct factorizations, completing factorizations, and arranging steps to factor polynomials completely.

By Edform · Mathematics · Grade 9 · Published Oct 15, 2026 · New

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Questions

  1. Which is the greatest common factor (GCF) of 12x²y and 18xy²?
  2. Which of the following are correct factorizations of x² - 9?
  3. Fill in the blanks to factor 3x³y - 6x²y² completely.
  4. Arrange the steps to factor x² + 5x + 6 completely.
  5. Match each polynomial to its correct factored form.
  6. Choose the correct factorization: 4x² - 25 = (_)( _ )
  7. Sort each polynomial into the correct category: GCF, Trinomial, or Difference of Squares.
  8. Determine if each statement about factoring is true or false.
  9. What is the sum of the roots of the trinomial x² - 7x + 12?
  10. Factor completely: x² - 49.

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