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Standards/Math/Alabama/PC.6

PC.6

PC Precalculus
PC.1
PC.10
PC.11
PC.12
PC.13
PC.14
PC.15
PC.16
PC.17
PC.18
PC.19
PC.2
PC.20
PC.21
PC.22
PC.23
PC.24
PC.25
PC.26
PC.27
PC.28
PC.29
PC.3
PC.30
PC.31
PC.32
PC.33
PC.34
PC.35
PC.36
PC.37
PC.4
PC.5
PC.6
PC.7
PC.8
PC.9
PC.A-APRE
PC.A-RWEI
PC.A-SSE
PC.BF
PC.F
PC.NQ-CNS
PC.NQ-L
PC.NQ-VMQ
PC.TF

Analyze possible zeros for a polynomial function over the complex numbers by applying the Fundamental Theorem of Algebra, using a graph of the function, or factoring with algebraic identities.

Example Problems
Factor completely:
x6−1
Factor completely:
9x4−81
Factor completely:
2x6+x3−3
Khan Academy Resources
Graphs of polynomials: Challenge problemsZeros of polynomials & their graphsGraphs of polynomialsPositive & negative intervals of polynomialsZeros of polynomials (with factoring)Positive & negative intervals of polynomialsZeros of polynomials (multiplicity)Zeros of polynomials (factored form)Zeros of polynomials (with factoring): groupingMultiplicity of zeros of polynomialsZeros of polynomials: matching equation to graphQuadratics & the Fundamental Theorem of Algebra Zeros of polynomials: matching equation to zerosVertex form introductionZeros of polynomials: plotting zerosThe Fundamental theorem of AlgebraZeros of polynomials (with factoring): common factorZeros of polynomials (multiplicity)Zeros of polynomials introductionNumber of possible real roots of a polynomial
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