Algebra Class: Factoring Trinomials
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Questions and Answers

Which of the following is not factorable using integer coefficients?

  • 4x² + 25x + 25
  • x² + 6x − 2 (correct)
  • m² − 9m + 14
  • b² − b − 30
  • Which of the following trinomials can be factored by first factoring out a greatest common factor?

  • m² − 9m + 14
  • 20x² + 13x + 2
  • 5x² − 37x + 14
  • 6x² + 3x − 108 (correct)
  • Which of the following trinomials is a perfect square trinomial?

  • 5x² − 37x + 14
  • 4x² + 25x + 25 (correct)
  • m² − 9m + 14
  • 6x² + 3x − 108
  • Which of the following trinomials is not factorable using integer coefficients?

    <p>x² + 6x − 2 (B)</p> Signup and view all the answers

    Which of the following trinomials has a leading coefficient that is not 1?

    <p>6x² + 3x − 108 (A), 5x² − 37x + 14 (B)</p> Signup and view all the answers

    Study Notes

    Trinomial Factoring

    • Identify trinomials that can be factored based on given criteria.
    • Criteria include having a common factor or not able to be factored.
    • Multiple examples demonstrate factoring trinomials and identifying those that cannot be factored.

    Factoring Trinomials

    • Show factoring procedures for different trinomials.
    • Examples include 4x² + 25x + 25, 6x² + 3x - 108 and 5x² - 2x - 35.
    • Show factored expressions and steps taken to arrive at the answer.

    Unfactorable Trinomials

    • Identify trinomials that cannot be factored.
    • Examples include m² - 9m + 14, and x² + 6x - 2.
    • Provide explanation based on the property of factors.

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    Description

    This quiz explores the process of factoring trinomials, including identifying those that can and cannot be factored. Various examples illustrate the steps of factoring common trinomials and the criteria for unfactorable cases. Test your understanding of trinomial factoring techniques and operations involved.

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