Factoring Trinomials by Grouping
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Questions and Answers

What is a common factor in the algebraic expressions 6x^2y and 9xy^2?

  • 2, 3, x, y
  • 1, 3, z, t
  • 4, 5, x, y
  • 1, 3, x, y (correct)

    • What is the greatest common factor (GCF) of 6x^2y and 9xy^2?

  • 3xy (correct)
  • 4xy
  • 2xy
  • 6xy

    • How can a polynomial expression be factorized when grouping terms?

  • Grouping terms with common factors (correct)
  • Adding the terms together
  • Rearranging the terms alphabetically
  • Dividing the terms by a common factor

    • Which method involves identifying and listing the common factors before finding the GCF?

    <p>Greatest Common Factor (GCF)</p> Signup and view all the answers

    What should be done with terms that have common factors in factoring by grouping?

    <p>Group them together</p> Signup and view all the answers

    Which process involves separating a trinomial into two binomials?

    <p>Factoring Trinomials</p> Signup and view all the answers

    What is a perfect square trinomial?

    <p>$x^2 - 4x + 4$</p> Signup and view all the answers

    Difference of Squares refers to which type of algebraic expression?

    <p>$(x - y)^2$</p> Signup and view all the answers

    Factoring by Grouping involves grouping terms that have which characteristics together?

    <p><strong>Common factors</strong></p> Signup and view all the answers

    Factoring Trinomials is commonly used when dealing with expressions of which form?

    <p>$ax^2 + bx + c$</p> Signup and view all the answers

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