Factoring Using Common Monomial Factors.docx

instructional materials about factoring

1. Identify the
common term of
each polynomial

2. through prime
factorization.
1. 2ab + 2ac – 2a

3. 2. 20x
2
– 12
3. x(a-b) + y(a-
b)

4. Common monomial
factoring is the
process of writing a

5. polynomial as a
product of two
polynomials, one of
which is a monomial

6. that factors each term
of the polynomial.
Every expression has
itself and the number

7. 1 as a factor. These
are called the trivial
factors. If a
monomial is the
product of two or

8. more variables or
numbers, then it will
have factors other
than itself and 1.
ACTIVITY: Match it to me!

9. Instructions: Match the polynomial in column A to its
factors in column B.

A. B.
1.x
3
y
2
+xy
3
+ 2x
2
y
3
a.

xy
2
(x
2
+ y + 2xy)
2.x
3
+ x
2
y + xy
2
b. 3(y
2
– 5y – 4)
3.3y
2
– 15y – 12 c. xy(x
2
+ x + y)
Individual Work

10. Instructions:
Find the common
monomial factor of

11. the following
monomials.
1.ax
4
, -a
2
x
6
, a
3
x
2

2.56x
2
, -4x, -12
3.abx
2
, -axz, bxy

12. B. Factor the
following
polynomials.
4. 5y
2
+ 10
5. 14p
2
+ 21