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Unit 5 - Coggle Diagram
Unit 5
Lesson 2: Higher degree polynomials and the intermediate value theorem
Fundamental theorem of algebra
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Graphs of polynomial functions
Multiplicity of a root
Even vs. odd
Turning points
End behavior
Intermediate value theorem (IVT)
Lesson 1: Quadratic functions
Polynormal function:
Leading coefficient a_n
Whole number powers on x
The degree of the polynomial is n
Forms of quadratic functions
Standard form
Intercept form
Vertex form
Parabola and roots
Distinct real roots, repeated real roots, imaginary roots
Imaginary roots
Comes in pairs, called complex conjugates
Read numbers are complex numbers without imaginary parts
Lesson 3: Polynomial long division and real roots
Steps for long division
Equivalent concepts of root
Root
X-cross
Zero value
Factor
Remainder
Lesson 4: Operations with complex numbers
Standard form of complex numbers
Lesson 5: Polynomials and complex roots
Complex zeros theorem
Lesson 6: Polynomial inequalities and optimization
Graph of polynomial, find portion above/below x-axis
PreCalc Index