11. Common monomial factoring is the process of
writing a polynomial as a product of two polynomials,
one of which is a monomial that factors each term of
the polynomial.
To ensure that the polynomial is the prime
polynomial, use the Greatest Common Factor (GCF) of
the terms of the given polynomials.
12. 1. Find the GCF of 4𝒎 𝟐
and 𝟏𝟎𝒎 𝟒
.
𝟒𝒎 𝟐
𝟏𝟎𝒎 𝟒
𝑮𝑪𝑭
𝑮𝑪𝑭 2 𝒎 𝟐
13. 2. Find the GCF of 𝟔𝒙 𝟒 , 9𝒙 𝟐y, and 𝟏𝟓𝒙 𝟓 𝒚.
Solution:
Express each as a product of prime factors.
𝟔𝒙 𝟒
9𝒙 𝟐y
𝟏𝟓𝒙 𝟓 𝒚
= 𝟐 ∗ 3 ∗ x ∗ x ∗ x ∗ x
= 𝟑 ∗ 3 ∗ x ∗ x ∗ y
= 5 ∗ 3 ∗ x ∗ x ∗ x ∗ x ∗ x ∗
𝑮𝑪𝑭 = 𝟑 ∗ x ∗ x
𝑮𝑪𝑭 = 3𝒙 𝟐
y