Factoring by the Greatest Common Monomial Factor

Binomial – is an algebraic expression consisting of two terms.

Common Factor – factor that repeatedly occurs in each term 

Factor – an exact divisor of a number 

Factors – terms to be multiplied to give the polynomial 

 Factoring – process of finding the factors of a polynomial 

 Greatest Common Factor (GCF) – is the greatest integer that is a factor of all the given integers 

Greatest Common Monomial Factor (GCMF) – the greatest factor contained in every term of an algebraic expression 

Monomial – an algebraic expression consisting of one term 

Polynomial – a finite sum of terms each of which is a real number or the product of a numerical factor and one or more variable factors raised to a whole number power 

Prime Number – is a number greater than one which has only two positive factors: 1 and itself 

Prime Polynomial – an irreducible polynomial with integral coefficient whose greatest monomial factor is 1.

Trinomial – an algebraic expression consisting of three terms.