
Anyone
who hunts knows that they can only do this during the designated
season. This is to make sure that the animal population is not depleted.
However, if left uncontrolled, an animal population develops polynomially.
This means that if one animal has and average of 3 offspring, then
each of the 3 babies will have an average of 3 offspring (a total
of 9), and those 9 babies will average 3 offspring each (a total
of 27), and so on.
The number of descendants of one animal, written as a polynomial,
can be expressed as x + x^2 + x^3 + x^4 where x is the number of
offspring an animal has. So, if an animal has an average of 8 offspring
in its lifetime, it will probably have 4680 (8 + 8^2 + 8^3 + 8^4)
descendants in four generations. Luckily, animal populations are
controlled naturally by predators, disease, starvation, and natural
competition.
Upon completion of the activities
in this unit, you should be able to:
 Use the following terms in a written paragraph to describe the
key concepts of this unit.
 polynomial
 monomial
 binomial
 trinomial
 simplify
 decimal notation
 scientific notation
 degree
 constants
 FOIL method
 Multiply monomials and simplify expressions with powers of monomials.
 Divide monomials and simplify expressions with quotients of
monomials and negative exponents.
 Express numbers in scientific and decimal notation.
 Find products and quotients of numbers expressed in scientific
notation.
 Find the degree of a polynomial.
 Arrange the terms of a polynomial in ascending and descending
order.
 Add and subtract polynomials.
 Multiply a monomial and a polynomial and simplify expressions
with polynomials.
 Use FOIL to multiply binomials.
 Multiply polynomials by using the distributive property.
 Multiply special binomials by using a pattern.
