Writing in Math Use the information on page 340 about tuition increases to explain, algebra homework help

Writing in MathUse the information on page 340 about tuition increases to explain how polynomials can be applied to financial situations. Include an explanation of how a polynomial can be applied to a situation with a fixed percent rate of increase and an explanation of how to use an expression and the 6% rate of increase to estimate Shenequa’s tuition in the fourth year.

6-2
Operations with Polynomials
Main Ideas
Add and subtract
polynomials.
College Choices
Multiply polynomials.
GET READY for the Lesson
Shenequa has narrowed her choice for
which college to attend. She is most
interested in Coastal Carolina University,
where the current year’s tuition is $3430
Shenequa assumes that tuition will
increase at a rate of 6% per year.
You can use polynomials to represent the
increasing tuition costs.
College
Tuition
New Vocabulary
Allegheny Colege 426.00
degree of a polynomial
47921
university of
Maryland
43430
Coastal Care
Whit
Add and Subtract Polynomials Ifr represents the rate of increase of
tuition, then the tuition for the second year will be 3430(1 + r). For the
third year, it will be 3430(1 + r)2 or 34302 + 6860r + 3430 in expanded
form. The degree of a polynomial is the degree of the monomial with the
greatest degree. For example, the degree of this polynomial is 2.
Study Tip
Look Back
You can review
polynomials in
Lesson 1-1.
EXAMPLE Degree of a Polynomial
Determine whether each expression is a polynomial. If it is a
polynomial, state the degree of the polynomial.
a*y9 – 9×4
This expression is a polynomial because each term is a monomial.
The degree of the first term is 3 + 5 or 8, and the degree of the second
term is 4. The degree of the polynomial is 8.
b. x + V#5
This expression is not a polynomial because VF is not a monomial.
6×2 + 3x-1-4
This expression is not a polynomial because x-2 and are not
monomials. x2 = and x-1 = . Monomials cannot contain
variables in the denominator.
JOHECK Your Progress
1A. $ + 3×2
1B. xy + 9x+y? – 2xy
To simplify a polynomial means to perform the operations indicated and
combine like terms.