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You are given f(x) = x4 - 3x3 - kx - 5. When f(x) is divided by x + 3 the remainder is 169.

 

What is the value of K?

 Apr 11, 2022
 #1
avatar+33151 
+2

Here is one way:

 

 Apr 11, 2022
 #2
avatar+124598 
+1

Thx, alan...here's another way using synthetic divsion

 

 

-3   [   1    - 3       0         -k                -5       ]

                - 3     18       -54            3k + 162

       _______________________________

          1      -6     18      - k - 54      3k  + 157

 

So

 

3k + 157  =  169

 

3k = 169 - 157

 

3k = 12

 

k = 4

 

cool cool cool

 Apr 11, 2022
 #3
avatar
0

Here is another way:

 

 Apr 11, 2022
 #4
avatar
+1

Ooops....made an error in the last step:edited

 

Guest Apr 11, 2022

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