FACTORING COMMON MONOMIAL FACTOR

What is a Common Monomial Factor ?

A common monomial factor is a monomial that is a common factor to all of the terms of a polynomial expression.

Example of Monomial Expression :

8x⁵

Find the common monomial factor in monomial. 

8x⁵ = 2x² . 4x³

8x⁵ = 8x . x⁴

8x⁵ = 2x . 2x . 2x . x²

It gives as a product of two or more monomials.

Example of Binomial Expression :

3x⁴ - 6x²

Find the common monomial factor in binomial.

= 3x⁴ - 6x²

Take out the greatest common factor,

= 3x²(x² - 2)

Here the Common Monomial Factor is 3x²

Example of Trinomial Expression :

15x⁴ - 10x³ + 5x²

Find the common monomial factor in Trinomial.

= 15x⁴ - 10x³ + 5x²

Take out the greatest common factor,

= 5x²(3x² - 2x + 1)

Here the Common Monomial Factor is 5x²

Another example of Trinomial Expression :

36x⁴y² - 18x³y⁵ - 9x³y²

Find the common monomial factor in Trinomial.

= 36x⁴y² - 18x³y⁵ - 9x³y²

Take out the greatest common factor,

= 9x³y²(4x - 2y³ - 1)

Here the Common Monomial Factor is 9x³y²