Use the remainder theorem to find the remainder when f(x)is divided by x−3.Then use the factor theorem to  determine whether x−3 is a factor of f(x).   f(x)=3x^3−6x^2−8x−2 The remainder is    Is x-3 a factor of f(x) =3x^3-6x^2-8x-2  yes or no ?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 79E
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Use the remainder theorem to find the remainder when f(x)is divided by x−3.Then use the factor theorem to  determine whether x−3 is a factor of f(x).

 
f(x)=3x^3−6x^2−8x−2
The remainder is 
 
Is x-3 a factor of f(x) =3x^3-6x^2-8x-2 
yes or no ? 
 
Can you please explain this step by step and show work ? 
 
 
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