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) (A)</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 (C)</p> Signup and view all the answers

Which process involves separating a trinomial into two binomials?

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

What is a perfect square trinomial?

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

Difference of Squares refers to which type of algebraic expression?

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

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

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

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

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

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