Cc-26 Polynomial Functions Examples And Worksheet - Common Core

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Common Core State Standards
Polynomial Functions
CC-26
MACC.912.F-IF.3.7c Graph polynomial functions,
identifying zeros when suitable factorizations are
available and showing end behavior.
Also MACC.912.A-SSE.1.1a
MP 1, MP 2, MP 3, MP 4, MP 5
Objectives To classify polynomials
To graph polynomial functions and describe end behavior
The first column shows a sequence of numbers.
For 1st differences, subtract consecutive
numbers in the sequence:
6
( 4)
2, 4
( 6)
10, and so on.
Working backwards
unlocks the patterns.
For 2nd differences, subtract consecutive 1st
differences. For 3rd differences, subtract
MATHEMATICAL
consecutive 2nd differences.
PRACTICES
If the pattern suggested by the 3rd
differences continues, what is the 8th number
in the first column? Justify your reasoning.
The sequence of numbers in the first column above are values of a particular polynomial
Lesson
Lesson
function. For such a sequence, you can use patterns of 1st differences, 2nd differences,
Vocabulary
Vocabulary
3rd differences, and so on, to learn more about the polynomial function.
• monomial
• degree of a
Essential Understanding
monomial
A polynomial function has distinguishing “behaviors.”
• polynomial
You can look at its algebraic form and know something about its graph. You can look at
• degree of a
its graph and know something about its algebraic form.
polynomial
• polynomial
A monomial is a real number, a variable, or a product of a real number and one or more
function
variables with whole-number exponents. The degree of a monomial in one variable is
• standard form
the exponent of the variable. A polynomial is a monomial or a sum of monomials. The
of a polynomial
function
degree of a polynomial
in one variable is the greatest degree among its monomial terms.
• turning point
A polynomial with the variable x defines a polynomial function of x. The degree of the
• end behavior
polynomial function is the same as the degree of the polynomial.
118
Honors Supplement
118
Common Core
HSM15_A1Hon_SE_CC_26_TrKit.indd Page 118 8/2/13 3:26 PM user
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HSM15_A1

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