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
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
- 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.