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Distributivity

If p(x) = x10...

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If p(x) = x100 + 100 is divided by (x – 1), then the remainder is

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Q. The remainder when the polynomial

p (x) = x^{100} - x^{97} + x^{3}

x + 1

f (x) = x^{100}

f (x)

x^{2} + x,

then the remainder is

r (x)

. Find the value of

r (5)

?

Q. A polynomial

P (x)

contains only terms of even degree, when

P (x)

(x + 1)

, the remainder is

- 2

P (x)

(x^{2} - 1)

then find the remainder.

p (x)

is a polynomial with integer coefficients. The remainder when

p (x)

x - 1

1

and the remainder when

p (x)

x - 4

10

r (x)

is the remainder when

p (x)

(x - 1) (x - 4)

, then the value of

r (2006)

Q. When a polynomial

p (x)

x - 1

, the remainder is

3

p (x)

x - 3

, the remainder is

5

r (x)

is the remainder when

p (x)

(x - 1) (x - 3)

, then the value of

r (- 2)

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