5.7 Completing the Square Ch. 6 Notes Page 38 P38 6.1: Polynomial Functions.
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Transcript of 5.7 Completing the Square Ch. 6 Notes Page 38 P38 6.1: Polynomial Functions.
5.7 Completing the SquareCh. 6 Notes Page 38 P38 6.1: Polynomial Functions
Polynomial Functions
Polynomial Function:
where n is a nonnegative integer and an,…,a0 are real numbers.
011
1 ...)( axaxaxaxP nn
nn
Degree: the exponent of a variable
Standard Form of a Polynomial: Terms in descending order by degree
Degree of a Polynomial: The largest degree of any term in the polynomial
***The degree of a polynomial tells us how many zeros the function has!!!
Classifying Polynomials
Classifying Polynomials
Write each polynomial in standard form. Then classify by degree, name and number of terms.
457 xx xxxx 234 32 526 x
Simplify. Classify each result by the number of terms. *When multiplying like bases, add the exponents.
Classifying Polynomials
678 33 dd 93865 33 xxx
265 2 xx 211 xxx
Comparing Models
Using a calculator, determine whether a linear, quadratic, or cubic function would best fit the values in the table.
**We will need to plot the points and the function on the calc!
x 0 5 10 15 20
y 10.1 2.8 8.1 16.0 17.8
Real Life
The table shows gold production for several years. Find a quartic function to model the data. Use it to estimate production of gold in 1988.
Year 1975 1980 1985 1990 1995 2000
Production (millions of ounces)
38.5 39.2 49.3 70.2 71.8 82.6
5.7 Completing the Square6.1: Polynomial Functions
HW #35 6.1: P309 #1, 3, 4, 6, 13, 14, 18, 22, 39, 40, 46, 48