AN IMPORTANT RESULT If a and b are two whole numbers such that q is the quotient and r is the remainder when a is divided by b then

Find the quotient and the remainder when x^4 + 1 is divided by x-1.

Find the quotient and remainder when p(x) is divided by q(x)

Find the number which when divided by 53 gives 8 as quotient and 5 as remainder.

Find the number which when divided by 35 gives the quotient 20 and remainder 18.

For natural numbers,when p is divided by d, the quotient is q and the remainder is r .When q is divided by d,the quotient is q and the remainder is r'. Then if p is divided by dd' the remainder is

On dividing a number by 53 we get 8 as quotient and 5 as remainder. The number is

A number when divided by 46 gives 11 as quotient and 15 as remainder. The number is

A number divided by 68 gives the quotient 269 and remainder zero. If the same number is divided by 67, the remainder is: