Math Problem Statement
Task 2. Given a polynomial: f(x) = x4 - 8x3 -8x2 +8x +7
(i)Use rational theorem and synthetic division to find the zeros of the polynomial
(ii) Draw the graph using GeoGebra graphing tool.
(iii) Identify its end behavior
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomials
Synthetic Division
Quadratic Formula
End Behavior
Formulas
Rational Root Theorem: Possible roots = ±p/q, where p is the constant term and q is the leading coefficient
Synthetic Division Process
Quadratic Formula: x = (-b ± √(b² - 4ac)) / 2a
Theorems
Rational Root Theorem
Synthetic Division
Quadratic Formula
Suitable Grade Level
Grades 10-12
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