If `x^(51)+51` is divided by `x+1` , the remainder is
(a)0
(b) 1
(c) 49
(d) 50

If x^(51) +51 is divided by x+1 , then the remainder is

A polynomial P(x) of third degree vanish when x=1 & x=-2 . This polynomial have the values 4 & 28 when x=-1 and x=2 respectively. If the polynomial P(x) is divided by (x+3), the remainder is a. -32 b. 100 c. 32 d. 0

3^(51) when divided by 8 leaves the remainder 2 2. 6 3. 3 4. 5 5. 1

When the polynomial x^(3)+2x^(2)-5ax-7 is divided by (x - 1), the remainder is A and when the polynomial. x^3+ax^2-12x+16 is divided by (x + 2), the remainder is B. Find the value of 'a' if 2A + B = 0.

STATEMENT 1 : When a polynomial P(x)(d egr e e >2) is divided by (x-1) and (x-2) the remainders are -1 and 1 respectively. If the same polynomial is divided by (x-1)(x-2) then the remainder is (2x-3) STATEMENT 2 : If P(x) is divided by a quadratic expression, then the remainder is either 0 or a polynomial whose degree is at most 1.

When f(x)=x^(3)+ax^(2)-bx-8 is divided by x-2, the remainder is zero and when divided by x+1, the remainder is -30. Find the values of 'a' and 'b'.

The remainder when 27^(10)+7^(51) is divided by 10 (a) 4 (b) 6 (c) 9 (d) 2

If roots of the equation f(x)=x^6-12 x^5+bx^4+cx^3+dx^2+ex+64=0 are positive, then remainder when f(x) is divided by x-1 is (a) 2 (b) 1 (c) 3 (d) 10

If a is the remainder when 5^40 is divided by 11 and b is the remainder when 2^2003 is divided by 17 then the value of b-a is (A) 1 (B) 8 (C) 7 (D) 6

The remainder obtained when the polynomial x+x^(3)+x^(9)+x^(27)+x^(81)+x^(243) is divided by x^(2)-1 is (a)6x+1 (b)5x+1 (c)4x (d)6x