Factoring Worksheet With Examples Page 8
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50Algebra Lab
EXPLORE
8-2
Factoring Using the
Distributive Property
Sometimes you know the product of binomials and are asked to find the
factors. This is called factoring. You can use algebra tiles to factor binomials.
ACTIVITY 1
Use algebra tiles to factor 3x + 6.
Arrange the tiles into a rectangle.
Step 1
Model the polynomial 3x + 6.
Step 2
The total area of the rectangle
represents the product, and its length
and width represent the factors.
The rectangle has a width of 3 and a length of
x + 2. So, 3x + 6 = 3(x + 2).
2
ACTIVITY 2
Use algebra tiles to factor x
- 4x.
2
Model the polynomial x
- 4x.
Step 2
Arrange the tiles into a rectangle.
Step 1
The rectangle has a width of x and a length of
2
x - 4. So, x
- 4x = x(x - 4).
A
R
NALYZE THE
ESULTS
Use algebra tiles to factor each binomial.
2
2x + 10
6x - 8
+ 2x
9 - 3x
1.
2.
3.
5 x
4.
Tell whether each binomial can be factored. Justify your answer with a drawing.
2
2
4x - 10
3x - 7
x
+ 2x
x
+ 4
5.
6.
7.
8.
9.
MAKE A CONJECTURE
Explain how you can use algebra tiles to determine
whether a binomial can be factored. Include an example of one binomial
that can be factored and one that cannot.
425
Explore 8-2 Algebra Lab: Factoring Using the Distributive Property
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