Question

Describe common monomial factor

Answer 1

• Common Monomial Factor is a number, a variable, or a combination of number and variable which can be found in each term of a given polynomial. • GCF stands for Greatest Common Factor.

Answer 2

A monomial factor is exactly that it’s a factor (often of a polynomial) that has only one term.

To the factor, a monomial means to express it as a product of two or more monomials.

Here’s an example. When factoring polynomial, you may have heard people say that the first step is to “pull out the greatest monomial factor”. This is just another name for factoring out a GCF.

Lets, take  $2x^{2} +4x+6$

for example. Every term is a multiple of 2, so we can factor 2 out as the greatest monomial factor: $2(x^{2} +2x+3)$

A monomial could also have variables and exponents along with it too. For example, we get more than just a constant when we factor out the GCF of

$20x^{6}+5x^{3} : 5x^{3} (4x^{3}+1)$