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avatar+2448 

When dividing the polynomial p(t)=4t^3-17t^2+14t-3 by t-3 the remainder can be determined by evaluating p(3). What is the value of this remainder?

Tried solving it on my own but couldn't figure it out >.<

 Oct 2, 2018
 #1
avatar+206 
0

Could you tell me which concept this problem is in?

 Oct 2, 2018
 #2
avatar+99539 
+2

By the Remainder Theorem.....to find the remainder...just plug 3 into the function and we have

 

4(3)^3  - 17(3)^2  + 14(3)  - 3 = 

 

4*27  - 17*9  + 42  - 3  =

 

-6

 

Note that synthetic division would provide the same result

 

 

3 [  4   -17     14     -3   ]

            12    -15     -3

     ________________

      4    -5     -1      -6

 

 

 

cool cool cool

 Oct 2, 2018
 #3
avatar+2448 
+1

I forgot I even posted this, thank you! I already got the answer but it's good to know I was correct :D

RainbowPanda  Oct 2, 2018

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