Monomials and the GCF
A monomial is a number, a variable raised to a whole number, or a product of a number and one or more variables.
Examples: 12x2y, 3mn, 64w3y2
In algebra, a polynomial is the sum of two or more monomials. A polynomial with 2 terms is knows as binomial, and it's the sum of two monomials.
Examples: (12x2y2 + 3x3y2); (12m + 64) and (3p - 64p3q)
A polynomial with 3 terms is known as a trinomial; a polynomial with 4 terms is known as a quadrinomial and so on.
To factor a monomial means to write the monomial as a product of its factors.
Finding the greatest common factor (GCF)
Product of Powers Property
To raise a monomial to a power, multiply exponents for each variable by the external power; and raise each numeric factor to the external power.
Simplify: (2t 4p3)4