Question

for some integers p and 4 there exist unique integers q and r such that p = 4q + r. find possible value of r .​

Answer 1

Answer:

0,1,2,3, 4

Step-by-step explanation:

P=bq+r

Where 0is less than or equal to r which is less than b

Answer 2

The possible value of r are 0,1,2 and 3.

Step-by-step explanation:

Two integers p and 4.

Given equation

$p=4q+r$

By Euclid's algorithm

$a=bq+r$

where $0\leq r<b$

Where a=Dividend

b=Divisor

r=Remainder

q=Quotient

By comparing we get

a=p , b=4

The value of r is greater than equal to 0 and less than 4

Therefore, the possible value of r are 0,1,2 and 3.