Page 13 - MODULE 1 Q1MATH8

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Finding Factors of Polynomials
Example:
Factor 15d2e4 10d3e6 f
Here are the steps:
Step 1: Finding the Common Monomial Factor
Directions: Study the illustrative examples of how factoring by common
monomial factor is being done.
Steps
of the numerical coefficients (15
and 10).
Find the variable with the least
exponent in each term of the
polynomial.
The product of the GCF in a and
the variable with the least
exponents in b is the Common
Monomial Factor (CMF) of the
polynomial.
15= (5)(3)
Solution
a. b. c.
Find the greatest common factor
 
 Least exponent of d is 2, for e is 4.
 
5 = (5)(2)
Therefore, the GCF is 5
(5)(d2e4)= 5d2e4
Hence, 5d2e4 is the Common
Monomial Factor of
15d2e4 10d3e6 f
 
To find the factors of the given expression, divide the given polynomial
by its CMF.
The CMF & the resulting quotient are the factors.
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