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.

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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