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Byju's Answer
Standard XII
Mathematics
Definition of Functions
Complete the ...
Question
Complete the following table for the polynomial
y
=
p
(
x
)
=
x
3
−
2
x
+
3
.
x
−
1
0
1
2
x
3
−
2
x
3
y
(
x
,
y
)
Open in App
Solution
y
=
p
(
x
)
=
x
3
−
2
x
+
3
(
Given
)
x
−
1
0
1
2
x
3
−
1
0
1
8
−
2
x
2
0
−
2
−
4
3
3
3
3
3
y
4
3
2
7
(
x
,
y
)
(
−
1
,
4
)
(
0
,
3
)
(
1
,
2
)
(
2
,
7
)
Suggest Corrections
0
Similar questions
Q.
A polynomial
p
(
x
)
is divided by
g
(
x
)
, the obtained quotient
q
(
x
)
and the remainder
r
(
x
)
are given in the table. Find
p
(
x
)
in each case.
Sl.
p
(
x
)
g
(
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q
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r
(
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i
?
x
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ii
?
x
+
3
2
x
2
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+
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x
+
1
iii
?
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x
+
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3
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−
x
+
1
0
iv
?
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v
?
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+
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+
1
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+
12
Q.
x
−
y
x
+
1
2
(
x
−
y
x
)
2
+
1
3
(
x
−
y
x
)
3
+
…
.
=
Q.
Find the value of ‘t’ for which the polynomial,
p
(
x
)
=
x
3
+
3
x
2
+
2
x
+
t
gives 3 as remainder when divided by
(
x
–
1
)
.
Q.
Question 14
By Remainder theorem, find the remainder when p(x) is divided by g(x).
(i)
p
(
x
)
=
x
3
–
2
x
2
–
4
x
–
1
,
g
(
x
)
=
x
+
1
(ii)
p
(
x
)
=
x
3
–
3
x
2
+
4
x
+
50
,
g
(
x
)
=
x
–
3
(iii)
p
(
x
)
=
4
x
3
–
12
x
2
+
14
x
–
3
,
g
(
x
)
=
2
x
–
1
(iv)
p
(
x
)
=
x
3
–
6
x
2
+
2
x
−
4
,
g
(
x
)
=
1
−
3
2
x
Q.
Question 14
By Remainder theorem, find the remainder when p(x) is divided by g(x).
(i)
p
(
x
)
=
x
3
–
2
x
2
–
4
x
–
1
,
g
(
x
)
=
x
+
1
(ii)
p
(
x
)
=
x
3
–
3
x
2
+
4
x
+
50
,
g
(
x
)
=
x
–
3
(iii)
p
(
x
)
=
4
x
3
–
12
x
2
+
14
x
–
3
,
g
(
x
)
=
2
x
–
1
(iv)
p
(
x
)
=
x
3
–
6
x
2
+
2
x
−
4
,
g
(
x
)
=
1
−
3
2
x
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