Finding a solution of monomial
What is monomial
A monomial is an expression that could be a numeral, a variable, or the product of numerals and variables. A monomial is a product of positive integer powers of a fixed set of variables together with a coefficient. A monomial can also be thought of as a nonzero summand of a polynomial. A monomial with the coefficient excluded is usually called a term. A polynomial with one term is called as monomial. The following are all monomials: 5x^{3}, 8, and 4xy.
Examples of Monomial
Which of the following expressions is a monomial?
A. 9xy
B. 7x + 3
C. y 2
Solution:
Step 1: A monomial is an algebraic expression with only one term.
Step 2: 7x + 3 is not a monomial as there are two terms in the expression. [7x and 3 are the two terms.]
Step 3: y 2 is not a monomial as it is having a negative exponent.
Step 4: But, 9xy is a monomial as it is having only one term in the expression. [9xy is the only one term.]
Problems:
1 . Divide 14x  8 by 2.
Solution: 

Step 1 : 14x  82 

Explanation: [Original expression.] 

Step 2 : = 14x2  82 

Explanation: [Divide each term by 2.] 

Step 3 : = 2(7x)2  2(4)2 

Explanation: [Find the common factors.] 

Step 4 : = 7x  4 

Explanation: [Divide out common factors.]
2. Divide 14z  8 by 2.






