Podcast
Questions and Answers
Which of the following is not factorable using integer coefficients?
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?
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?
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?
Which of the following trinomials is not factorable using integer coefficients?
Which of the following trinomials has a leading coefficient that is not 1?
Which of the following trinomials has a leading coefficient that is not 1?
Flashcards
Factoring Trinomials
Factoring Trinomials
The process of expressing a trinomial as a product of two binomials.
Factor of 4x² + 25x + 25
Factor of 4x² + 25x + 25
Factored form is (4x + 5)(x + 5).
Unfactorable Polynomial
Unfactorable Polynomial
A polynomial that cannot be expressed as a product of binomials using integers.
Factoring 6x² + 3x − 108
Factoring 6x² + 3x − 108
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Example of Factorable Polynomial
Example of Factorable Polynomial
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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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