Math Problem Statement
wk 4.docx
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A=(-1.569,-3.124) B=(0.319,8.643) C= (2,0) D=(-2,0) E=(-1,0)(i) Identify the turning points, zeros, and x-intercepts. (ii) Do you find any point or zero which has a multiplicity in the graph? If so, specify them with multiplicity and explain the reason. (iii) Identify the degree and the polynomial as well as identify the domain in which the polynomial is increasing and decreasing. (iv) Do we have local maximum/minimum here? If yes, find them. (v) Find the remainder when the polynomial is divided by x-4.
Solution
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Math Problem Analysis
Mathematical Concepts
Turning Points
Zeros of Polynomials
Multiplicity of Roots
Polynomial Degree
Increasing and Decreasing Intervals
Local Maximum and Minimum
Polynomial Division
Formulas
Remainder Theorem: If a polynomial f(x) is divided by x-c, the remainder is f(c).
Theorems
Fundamental Theorem of Algebra
Rolle's Theorem (to discuss turning points)
Suitable Grade Level
Grades 10-12
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