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 >.<

RainbowPanda Oct 2, 2018

#2**+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

CPhill Oct 2, 2018

#3**+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