
Any
trip to SeaWorld is not complete until you have seen a dolphin
leap high above the water to grab a fish. Have you ever wondered
how long a dolphin can stay in the air after jumping out of
the water? In a standard park pool, dolphins can reach speeds
of 24 ft/s. If a dolphin leaves the water traveling at 24 ft/s
and it jumps h feet above the water after t seconds, then its
formula is
h = 24t  16t^2
When the dolphin returns to the water, it is 0 feet above the water.
Thus, by substituting, the formula becomes 0 = 24t  16t^2. An obvious
solution of the equation is when t=0, but when time is 0, the dolphin
has not jumped out of the water! In this unit, we will learn a technique
called factoring that will give us the solution.
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.
 composite number
 greatest common factor (GCF)
 prime factorization
 prime number
 Find the greatest common factor (GCF) for
a set of monomials.
 To factor polynomials using the GCF and the
distributive property.
 To factor quadratic trinomials.
 To identify and factor difference of squares.
 To identify and factor perfect square trinomials.
 Factor polynomials by applying the various
methods of factoring.
 Use the zero product property to solve equations.
 Solve equations using factoring methods
and applying the zero product property.
