Question

if (x100+2x99+K) is divisible by (x+1), find k?​

Answer 1

The value of k is 1.

Step-by-step explanation:

Consider the given expression is

$x^{100}+2x^{99}+k$

If a polynomial p(x) is divisible by (x-c), then p(c)=0.

It is given that the given expression is divisible by (x+1). It means the value of polynomial at x=-1 is 0.

$(-1)^{100}+2(-1)^{99}+k=0$

$1+2(-1)+k=0$

$1-2+k=0$

$-1+k=0$

$k=1$

Therefore, the value of k is 1.

#Learn more

If (x-3) is a factor of p(x) x^3 - kx^2 + ( k + 1 ) x-12 value of k.

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Answer 2

Answer:

Step-by-step explanation: