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Chapter 11
Factoring Quadratic Trinomials
You can factor trinomials with the form
The Problems You’ll Work On
Here are the types of things you work on in this chapter:
Factoring out a GCF (greatest common factor)
Creating the product of two binomials, both with variable coefficients of 1
Creating the product of two binomials, one or both with variable coefficients not equal to 1
Applying the techniques to quadratic-like trinomials
Using more than one factorization method in a problem
What to Watch Out For
Be aware of the following when factoring quadratic trinomials:
Assigning the correct sign to each term, especially when a factor or term is negative
Positioning the signs correctly in the product of binomials so a difference has the correct sign after cross-multiplying
Finding the correct factors of coefficients and constants when you have several to choose from in the problem
Recognizing when a factor in a problem can be factored again
Factoring Out the GCF of a Trinomial
496–499 Factor out the GCF of each.
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Factoring Trinomials into the Products of Binomials
500–511 Factor each trinomial into the product of two binomials.
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Factoring Quadratic-Like Expressions
512–519 Factor the quadratic-like expressions into the product of two binomials.
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Factoring Completely Using More Than One Technique
520–535 Completely factor each trinomial.
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