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Polynomial Graphing - Exercise 3 - Graphing a 3rd Degree Polynomial

Given that x=2 is a zero of f(x) = x3 + 2x2 - 5x - 6, divide by x-2 and apply the Property of Zeros to partially factor the polynomial.  Then, let f(x) = 0 and find the other zeros by applying the Zero Product Rule and The Distributive Property. Apply the Property of Zeros to graph all the x-intercepts. Find other points and complete the graph.  Verify your graph on a graphing calculator. The justification has been provided - No other justification is needed..

 

STATEMENT JUSTIFICATION
f(x) = x3 + 2x2 - 5x - 6

 

 

 

 

 

 

 

 

 

 

X-Value Y-Value
 

 

 

 

 

 

 

 

 
Given

Polynomial Division (Division Algorithm)

Properties of a Polynomial Zero (Allows you to write in partially factored form)

Zero Product Rule (Let the quadratic factor = 0)

Distributive Property (Factor the quadratic)

Addition Property of Equality (Solve the factored quadratic to find the other two zeros)

 

 

 

 

 

 

 

 

 

 

 

 

 

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