Common Monomial Factor

How to factor a polynomial by using the common monomial factor of the terms: 2 examples and their solutions.

Example 1

Example

Solution

First find the greatest common factor of x3 and +3x: x.
This x is the common monomial factor.

Write this common monomial factor x.

Write, x3/x, x2 in the parenthesis.

Quotient of Powers

Write, +3x/x, +3 in the parenthesis.

So x(x2 + 3) is the answer.

Example 2

Example

Solution

First find the greatest common factor of a2, -2ab, and +4a: a.
This a is the common monomial factor.

Write this common monomial factor a.

Write, a2/a, a in the parenthesis.

Write, -2ab/a, -2b.

And write, +4a/a, +4 in the parenthesis.

So a(a - 2b + 4) is the answer.