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Byju's Answer
Standard IX
Mathematics
Remainder Theorem
Let p(x) be a...
Question
Let p(x) be any polynomial. When it is divided by (x-19) and (x-91) then the remainders are 91 and 19 respectively. Find The remainder when p(x)is divided by (x-19)(x-91)
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Similar questions
Q.
Let
p
(
x
)
be any polynomial. When it is divided by
(
x
−
19
)
and
(
x
−
91
)
, then the remainders are
91
and
19
respectively. The remainder, when
p
(
x
)
is divided by
(
x
−
19
)
(
x
−
91
)
, is:
Q.
Let
p
(
x
)
be a polynomial such that when
p
(
x
)
is divided by
(
x
−
19
)
, the remainder is
99
and when
p
(
x
)
is divided by
(
x
−
99
)
, the remainder is
19
. The remainder when
p
(
x
)
is divided by
(
x
−
19
)
(
x
−
99
)
is?
Q.
P(x) be any polynomial. When it is divided by
(
x
−
17
)
and
(
x
−
71
)
, then the remainders are 71 and 17 respectively. Find remainder, when
P
(
x
)
is divided by
(
x
−
17
)
(
x
−
71
)
.
Q.
Let p(x) be a polynomial of degree more than 2. When p(x) is divided by x-2, it leaves remainder 1 and when it is divided by x-3, it leaves remainder 3. Find the remainder, when p(x) is divided by (x-2)(x-3).
Q.
Let p(x) be a quadratic polynomial such that
p
(
0
)
=
1
. If p(x) leaves remainder
4
when divided by
x
−
1
and it leaves remainder
6
when divided by
x
+
1
; then which one is correct?
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