Find the remainder when `p(y)=y^3+y^2+2y+3` is divided by `y+2.`

Find the remainder when the polynomial y^3 -3y^2 +5y -1 is divided by (y-1) . p(y) =………. p(1) = …………….=………..=………………

Find the remainder when x^(2003)+y^(6009) is divided by x+y^(3).

There are two positive integers X & Y. When X is divided by 237, the remainder is 192. When Y is divided by 117 the quotient is the same but the remainder is 108. Find the remainder when the sum of X & Y is divided by 118.

The remainder when x^4 - y^4 is divided by x - y is:

When y^(2)+my+2=0 us divide by (y-1) then the quotient is f(y) and the remainder is R_(1). When y^(2)+my+2=0 is divided by (y+1) then the quotient is g(y) and the remainder is R_(2). If R_(1)=R_(2) then find the value of m

The remainder when x^4-y^4 is divided by x-y is :

x and y are positive integers with x gt y . The numbers (x + 2y) and (2x+y) leave remainders 6 and 1 respectively when divideb by 7. What is the remainder when (x -y) is divided by 7?

When a natural number x is divided by 5, the remainder is 2. When a natural number y is divided by 5, the remainder is 4, The remainder is z when x+y is divided by 5. The value of (2z-5)/(3) is

Let x and y be positive integers such that xgey The expressions 3x + 2y and 2x + 3y when divided by 5 leave remainders 2 and 3 respectively. What is the remainder when (x-y) is divided by 5?