Question

find the remainder when the polynomial p( x) =x ^61 + 61 is divided by x-1 ...please answer fast

Answer 1

hello here is your answer by Sujeet yaduvanshi,

Given that,


polynomial. x^61+61


Now,
F(x)=x-1
f(x)=x-1=0
x=1

then,

putting the value of x in required polynomial,

x^61+61

(1)^61+61


1+61

62



Hence,
Required Remainder 62


that's all

Answer 2

Let see your answer !!!!!

$let \: p(x) = x ^{61} + 61 \\ \\ f(x) = x - 1 \\ \\ = > 0 = x - 1 \\ \\ = > - x = - 1 \\ \\ = > x = 1$

By remainder theorem


$p(1) = 1 ^{61} + 61 \\ \\ = 1 + 61 \\ \\ = 62$

Hence , the remainder is 62.




Thanks :)))))