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Is x-3 a factor of x^5 - 5x^4 + 6x^3 - 5x^2 + 16x - 3?

 

A. Yes, because the remainder is 0 
B. Yes, because the remainder is not 0 
C. No, because the remainder is 0 
D. No, because the remainder is not zero

 Sep 24, 2018
 #1
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(x^5  - 5x^4  + 6x^3  - 5x^2  + 16x  - 3) : (x - 3)  =  x^4 - 2x^3 - 5x + 1  
 x^5  - 3x^4                            
 ———————————————————————————————————————
      - 2x^4  + 6x^3  - 5x^2  + 16x  - 3
      - 2x^4  + 6x^3                    
      ——————————————————————————————————
                      - 5x^2  + 16x  - 3
                      - 5x^2  + 15x     
                      ——————————————————
                                  x  - 3
                                  x  - 3
                                  ——————
                                       0

A

laugh

 Sep 24, 2018

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