Find a polynomial f(x) of degree 7 such that  −3 and 3  are both zeros of multiplicity 2, 0 is a zero of multiplicity 3, and  f(−1) = 320. f(x) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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Find a polynomial f(x) of degree 7 such that 

−3 and 3

 are both zeros of multiplicity 2, 0 is a zero of multiplicity 3, and 

f(−1) = 320.


f(x) = 

 
 
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