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

The quotient and remainder when 19 is divided by -3 are :

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)

Let a and b be natural numbers and let q and r be the quotient and remainder respectively when a^2+b^2 is divided by a + b . Determine the number q and r if q^2+ r = 2000 .

Find the quotient and remainder when a is divided by b in the following cases a =−12, b = 5

Find the quotient and remainder when a is divided by b in the following cases a =17, b =−3

Find the quotient and remainder when a is divided by b in the following cases a =−19, b =−4

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

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