Find the remainder when
is divided by:
(i)
(ii)
(iii)
(iv)
(v)
Solution (i)
Let
and
According to Remainder Theorem, remainder is equal to
when
is divided by
.
Putting
equal to 0, we get
.
Therefore, remainder is 0 when
is divided by
.
Solution (ii)
Let
and
According to Remainder Theorem, remainder is equal to
when
is divided by
.
Putting
equal to 0, we get
.
Therefore, remainder is
when
is divided by
.
Solution (iii)
Let
and
According to Remainder Theorem, remainder is equal to
when
is divided by
.
Putting
equal to 0, we get
.
Therefore, remainder is equal to
when
is divided by
.
Solution (iv)
Let
and
According to Remainder Theorem, remainder is equal to
when
is divided by
.
Putting
equal to 0, we get
.
Therefore, remainder is equal to
when
is divided by
.
Solution (v)
Let
and
According to Remainder Theorem, remainder is equal to
when
is divided by
.
Putting
equal to 0, we get
Therefore, remainder is equal to
when
is divided by
.
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