Now we will see how to factor monomials with variables: Let’s take a monomial with 3 variable 28 x4 y5 z3, factor this monomial.
Solution: Here we can see that x ,y, z are three variable means we have three unknown values.
So first of all Set monomial equals to zero 28 x4 y5 z3 = 0,set this equals to zero because if we set this to anything else then it will change into another polynomial like binomial, trinomial etc. So to factor this monomial break down each term into its smallest factor, so here first of factor of 28 is: 28 = 2 * 2 * 7, factor of x4 = x * x * x * x, and factor of y5 = y * y * y * y * y, z3 = z * z * z. So factors are 2 * 2 * 7 * x * x * x * x* y * y * y * y * y * z * z * z.