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Overview
Precalculus
17. CC.HSA.APR.C.4
17.2 Multiplicities of polynomials
Multiplicities of polynomials
What You'll Learn
Identify the multiplicity of polynomial factors from exponents
Determine graph behavior at x-intercepts based on even vs. odd multiplicities
Recognize when graphs bounce off versus cross through the x-axis
Apply multiplicity rules to predict concavity changes at zeros
Calculate unknown multiplicities using the degree of the polynomial
What You'll Practice
1
Analyzing graphs to determine multiplicities of zeros
2
Sketching polynomial graphs using x-intercepts, y-intercepts, and multiplicities
3
Finding missing multiplicities when given polynomial degree
4
Identifying bounce points and crossing points from multiplicity values
Why This Matters
Understanding multiplicities is essential for graphing polynomials accurately and analyzing their behavior. This skill connects directly to calculus concepts like critical points and is fundamental for advanced algebra, helping you predict how functions behave without relying on a calculator.
This Unit Includes
3 Video lessons
Skills
Multiplicity
Polynomials
Graphing
X-intercepts
Zeros
Concavity
Even and Odd
ID Curriculum Aligned