Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient


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question 1 of 3

Factor the following polynomial: 5x^2 + 18x + 9.

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1. Multiply the following binomials to form a trinomial: (x - 7) (x + 2).

2. Factor the following polynomial: 2x2 - 8x + 6

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About This Quiz & Worksheet

Determine your ability to factor polynomials with a non-1 leading coefficient with this combination of guides. Practice questions in this quiz will ask you about the process of factoring and have you factor polynomial expressions.

Quiz & Worksheet Goals

This quiz will test you on:

  • Multiplication of numbers used to find binomials
  • The process of factoring a quadratic expression
  • Insertion of numbers into the area model

Skills Practiced

You will exercise the following skills in this work:

  • Problem solving - use acquired knowledge to factor polynomial expression in practice problems
  • Information recall - access the knowledge you've gained regarding the area model
  • Knowledge application - use your knowledge to answer questions about the process of factoring a quadratic expression
  • Reading comprehension - ensure that you draw the most important information about factoring polynomials from the related lesson

Additional Learning

This subject's lesson, titled Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient, provides an opportunity to keep learning about this math topic. Some goals of this lesson include:

  • Differentiate between factoring polynomials with and without a 1 leading coefficient
  • Explain each step of the process to factor polynomial expressions with a non-1 leading coefficient
  • Factor polynomial expressions in practice problems within the lesson