How to Factor Monomials

Factoring simplifies algebraic expression.
••• KatarzynaBialasiewicz/iStock/Getty Images

In algebraic expression, a monomial is considered one numeric term. Two monomials can make a polynomial or binomial. Factoring a monomial is rather simple, and you should learn them before trying to factor out more terms. When taking a course in algebra, you will be asked to factor out a monomial before factoring any other term.

    Determine how to factor a number. Factor out a number that is given, such as 24. To factor 24, find two multiples or numbers that, when multiplied, equal 24.

    Use numbers 6 and 4. By multiplying these two numbers, you will get 24. Then factor out the 6 by finding two multiples that equal 6. Use 2 and 3. Then find multiples of 4 with 2 and 2. In the end, you will have factored 24 with multiples of 6 (2, 3) and 4 (2, 2).

    Find the common factor. In this example, the common factor between both sets of multiples (6 and 4) is 2. Given the example of 24, the monomials are 2, 2, 2, and 3. This can also be listed as 2_2_2_3 or as 3_2^3. The symbol “^”means "to the power of."

    Factor an expression using letters. If you have a number followed by x^2, then the x should be factored out twice and look like x*x.

Related Articles

How to Simplify a Cube Binomial
How to Factor Expressions in Algebra
How to Factorise a Quadratic Expression
How to Factor Polynomials Step-by-Step
Definition of Successor and Predecessor in Math
How to Factor Higher Exponents
How to Factor Binomial Cubes
How to Cancel a Natural Log
How to Compare LCD & LCM in Fifth Grade Math
How to Find the Geometric Sequence
How to Write Polynomial Functions When Given Zeros
How to Find Fraction Sequences
How to Write a Repeating Decimal As a Fraction
How to Simplify Exponents
How to Use the AC Method for Factoring
How to Identify a Numerical Coefficient of a Term
How to Divide Rational Numbers
How to Calculate a Coprime
How to Factor Polynomials With 4 Terms
How to Do Multiplying & Factoring Polynomials

Dont Go!

We Have More Great Sciencing Articles!