Introduction to Factoring Trinomials

Using the Grouping Method

TEKS: A.10E&F

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Factoring trinomials

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Polynomials are expressions that consist of the sum or difference of many algebraic terms with the same variable but varying degrees. A monomial has ​

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a binomial has ​

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and a trinomial has ​

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​Trinomials in the form:

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Trinomials in standard form represent the coefficient of the first term with the letter ​

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the third letter used to represent the constant is ​

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and the middle term coefficient is represented by the letter ​

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1. Always factor out the GCF first (if there is one)

2. Take the factors of a and c that ADD to make b

3. Rewrite b as a sum or difference (depending on the signs) of those factors.

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Factor by Grouping method:

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Options (3)

1

3

2

Place the correct coefficient/constant under their label for the following equation: $$x^2+3x+2$$

First term: a

Second term: b

Third term: c

Multiple Choice

In the trinomial, $$x^2+3x+2$$ , what are the factors of a*c that give us b?

• -1, -2

• 1, 2

• -2, 1

• -1, 2

Math Response

Finally, fully factor the trinomial $$x^2+3x+2$$

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Correct Answer: \left(x+1\right)\left(x+2\right)

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Rad

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