Question

the remainder when x^100 is divided by x + 1

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Use Factor theorem ,

If f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number, then, (x-a) is a factor of f(x), if f(a)=0.

$\sf f(x) = x^{100}$ and $\sf a = -1$

then remainder is $\sf f(a)$

$\sf \implies f(-1) = (-1)^{100} = \bold1$