Find a rational zeros of the polynomial function and use it to find all the zeros of the function.   ​f(x)=x3+6x2+16x *** I got x=-2   (when doing the synthetic division I keep ending up with 4 numbers at the bottom. -2 does not make it a trinomial even though it is a rational 0)   -2   1  6  16  16           4  -20  8 -----------------  -2x^3+10x^3-4x^2+24     hope this makes sense

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 2CC: (a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c...
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Find a rational zeros of the polynomial function and use it to find all the zeros of the function.
 
​f(x)=x3+6x2+16x
*** I got x=-2
 
(when doing the synthetic division I keep ending up with 4 numbers at the bottom. -2 does not make it a trinomial even though it is a rational 0)
 
-2   1  6  16  16
          4  -20  8
-----------------
 -2x^3+10x^3-4x^2+24
 
 
hope this makes sense    
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