SOLUTION: please help use the remainder theorem to determine the remainder when {{{3t^2+5t-7}}} is divided by t-5

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Question 40630: please help
use the remainder theorem to determine the remainder when 3t%5E2%2B5t-7 is divided by t-5
Answer by gsmani_iyer(201) About Me  (Show Source):
You can put this solution on YOUR website!
Here, in your problem, p(x) = 3t%5E2%2B5t-7 and the divisor = t-5.
So we take x = 5 and by the reminder theorem, the reminder is:
p(5) = 3%285%5E2%29%2B5%285%29-7 = 3(25)+25-7 = 75+25-7 = 100-7 = 93.
= by the reminder theorem, the reminder = p(5) = 93. Answer.
gsm