Question

X power to 11 +101 divisible by x+1 then what is the remainder

Answer 1

Answer:

110

Step-by-step explanation:

Let's define $P(x) = x^{11} + 101$. So when we divide it by 'x+1', we can use Bezout's Theorem which states: that any polynomial(P(X)) divided by another binomial in the form 'x - a', then the remainder will be P(a).

We can use this fact to determine the remainder, because we divided our P(X) by x + 1 which is the same as x - (-1). So we plug in P(-1).

P(-1) = (-1)^11 + 101 = -1 + 101 = 110