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Byju's Answer
Standard X
Mathematics
Division Algorithm for a Polynomial
Find the valu...
Question
Find the value of t, given that
p
(
x
)
=
x
3
−
t
x
2
+
5
x
−
3
,
g
(
x
)
=
x
2
−
2
,
q
(
x
)
=
x
−
3
,
r
(
x
)
=
7
x
−
9
Where,
p
(
x
)
is the dividend,
g
(
x
)
is the divisor,
q
(
x
)
is the quotient, and
r
(
x
)
is the remainder
3
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Solution
The correct option is
A
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Similar questions
Q.
Who is correct?
Aakanksha:
q
(
x
)
=
p
(
x
)
−
r
(
x
)
g
(
x
)
Arjun:
q
(
x
)
=
p
(
x
)
g
(
x
)
−
r
(
x
)
Aman:
q
(
x
)
=
p
(
x
)
−
r
(
x
)
g
(
x
)
Anasuya:
q
(
x
)
=
p
(
x
)
+
r
(
x
)
g
(
x
)
Given,
p
(
x
)
is the dividend,
g
(
x
)
is the divisor,
q
(
x
)
is the quotient, and
r
(
x
)
is the remainder
Q.
If dividend =
x
4
+
x
3
−
2
x
2
+
x
+
1
and divisor =
(
x
−
1
)
, find the quotient,
q
(
x
)
and remainder
r
(
x
)
.
Q.
p
(
x
)
=
x
3
+
8
x
2
−
7
x
+
12
and
g
(
x
)
=
x
−
1
. If
p
(
x
)
is divided by
g
(
x
)
, it gives
q
(
x
)
and
r
(
x
)
as quotient and remainder respectively. If
a
is the degree of
q
(
x
)
and
b
is the degree of
r
(
x
)
,
(
a
−
b
)
=
?
.
Q.
Find the quotient
q
(
x
)
and remainder
r
(
x
)
of the following when
f
(
x
)
is divided by
g
(
x
)
.
p
(
x
)
=
x
6
+
x
4
−
x
2
−
1
;
g
(
x
)
=
x
3
−
x
2
+
x
−
1
Q.
Find the quotient
q
(
x
)
and remainder
r
(
x
)
of the following when
f
(
x
)
is divided by
g
(
x
)
.
f
(
x
)
=
x
3
−
3
x
2
−
x
+
3
;
g
(
x
)
=
x
2
−
4
x
+
3
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