MP1 Lesson 3 Factoring Trinomials by Grouping

Using the Grouping Method

TEKS: A.10E&F

​

Factoring trinomials

Dropdown

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

Select answer

a binomial has ​

Select answer

and a trinomial has ​

Select answer

​Trinomials in the form:

Dropdown

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

Select answer

the third letter used to represent the constant is ​

Select answer

and the middle term coefficient is represented by the letter ​

Select answer

.

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.

​

Factor by Grouping method:

Categorize

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 $$x^2+3x+2$$

Type answer here

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

Deg^°

Rad

Poll

Rate your understanding of the topic of Factoring by grouping.

• 4 - I feel really great about it!

• 3 - I feel good about it, just need some more practice.

• 2 - I'm struggling a little bit and would like some help.

• 1 - I am completely lost here...