Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let 
and 
be two polynomials. Suppose that 
is divisible by 
, then
A
is divisible by 
, but 
is not divisible by 
B
is divisible by 
, but 
is not divisible by 
C
Both 
and 
are divisible by 
and are divisible by D
is divisible by 
Text Solution
Verified by ExpertsThe correct answer is:
A
(c, d)
We have,
Since 
is divisible by 
, so
…… .. (i)
…… (ii)
Solving Eqs. (i) and (ii), we obtain
Therefore, both 
and 
are divisible by 
.
Hence, 
and 
are divisible by 
and
So, by 
Since 
, we get 
is divisible by 
.
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