Chapter 3: Polynomials Now we are going to talk more about the
calculation of the monomials and polynomials. In previous time,
we have discussed the commonly see ways of calculating the
monimials and polynomials. They are called the Properties of
Exponents. It states that for all real numbers a and b, a ¹ 0, b
¹ 0, and for all integers m and n, am x an= am+n am / an = am-n
(a M)n = amn ambm = (ab)m. Most time we have monomials and
polynomials with positive exponents. But what about negative
exponents? This is where we use the Definition of Negative
Exponents. It states that for each real number a, a¹ 0, and for
each integer n, a-n=1/an. As we have seen in previous
discussions that monomials and polynomials are complicated. So
simplifying them before trying to solve is very important. It
will improve both your speed and accuracy. Here are some basic
ways to simplify the monomials and polynomials: For all real
numbers a, b, and c, b ¹ 0, cd ¹ 0, ac/bc = a/b Definition of
Multiplication of Fractions: For all rea