1. SOL A.2c Designed by Stephanie Moore
Factoring Trinomials
SOL A.2c
Designed by Stephanie Moore

2. Review Multiplying Polynomials
Multiply (x + 2)(x + 3) using Algebra Tiles
x + 2
Mark the correct length on the sides
x + 3
Fill in the rectangle with the correct Algebra tiles.
Draw lines to complete the rectangle.
Therefore, (x + 2)(x + 3) = x2 + 5x + 6

3. Factoring
Factoring means to find the factors that multiply to equal the given expression.
This is the opposite of multiplying.
Example: Since (x + 2)(x + 3) = x2 + 5x + 6,
(x + 2) and (x + 3) are the factors of x2 + 5x + 6

4. Factoring Using Algebra Tiles
1) Factor x2 + 3x + 2
Create a rectangle
that models
x2 + 3x + 2
Hint: Start with the
X2 term, fill in the 1’s
next and then complete
with the x’s. OR

5. Factoring Using Algebra Tiles
1) Factor x2 + 3x + 2 2) Determine the length of each side.
Length of x
Length of 1
Length of x
Lengths of 1

6. Factoring Using Algebra Tiles
1) Factor x2 + 3x + 2 2) Determine the length of each side.
(x + 1)
Length of x
Length of 1
Length of x
(x + 2)
Lengths of 1
x2 + 3x + 2 = (x + 1)(x + 2)
Therefore, the factors of x2 + 3x + 2 are (x + 1) and (x + 2)

7. Factoring Using Algebra Tiles
2) Factor x2 + 6x + 5
Create a rectangle
that models
x2 + 6x + 5
Hint: Start with the
X2 term, fill in the 1’s
next and then complete
with the x’s.
Is there another way that the 1’s could be placed?

8. Factoring Using Algebra Tiles
2) Factor x2 + 6x + 5 2) Determine the length of each side.
Length of x
Length of 1
Length of x
Lengths
of 1

9. Factoring Using Algebra Tiles
2) Factor x2 + 6x + 5 2) Determine the length of each side.
Length of x
(x + 1)
Length of 1
Length of x
(x + 5)
Lengths
of 1
x2 + 6x + 5 = (x + 1)(x + 5)
Therefore, the factors of x2 + 6x + 5 are (x + 1) and (x + 5)

10. Factoring Using Algebra Tiles
3) Factor x2 + 5x + 6
Create a rectangle
that models
x2 + 5x + 6
Hint: Start with the
X2 term, fill in the 1’s
next and then complete
with the x’s.
Is there another way that the 1’s could be placed?

11. Factoring Using Algebra Tiles
3) Factor x2 + 5x + 6 2) Determine the length of each side.
(x + 3)
(x + 2)
x2 + 5x + 6 = (x + 2)(x + 3)
Therefore, the factors of x2 + 5x + 6 are (x + 3) and (x + 2)

12. Factoring Using Algebra Tiles
4) Factor 2x2 + 7x + 3
Create a rectangle
that models
x2 + 5x + 6
Hint: Start with the
X2 term, fill in the 1’s
next and then complete
with the x’s.
Is there another way that the x2’s could be placed?
Is there another way that the 1’s could be placed?

13. Factoring Using Algebra Tiles
4) Factor 2x2 + 7x + 3 2) Determine the length of each side.
(2x + 1)
(x + 3)
2x2 + 7x + 3 = (2x + 1)(x + 3)
Therefore, the factors of 2x2 + 7x + 3 are (x + 3) and (2x + 1)