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Byju's Answer
Standard X
Mathematics
Degree of a Polynomial
Degree of the...
Question
Degree of the polynomial
p
(
x
)
=
−
10
is:
A
−
10
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B
10
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C
0
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D
1
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Solution
The correct option is
C
0
Degree of a polynomial is the value of highest power of any variable.
For
p
(
x
)
=
−
10
There is no variable in the equation.
So, highest degree of variable is zero.
∴
Degree
=
0
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0
Similar questions
Q.
What is the degree of the polynomial
P
(
x
)
=
−
5
x
9
−
x
12
+
3
+
7
x
2
+
10
x
?
Q.
Assertion :If p(x) is a polynomial of degree
≥
1 and ax+b is a factor of p(x) then we have
p
(
−
b
a
)
=
0
. Reason: If p(x) is a polynomial of degree
≥
1, then polynomial (x-a)(x-b) is a factor of p(x) if p(a)=0 and p(b)=0.
Q.
Let
P
(
x
)
is polynomial of degree
4
such that
P
(
1
)
=
2
,
P
(
2
)
=
5
,
P
(
3
)
=
10
and
P
(
4
)
=
17
then
P
(
5
)
=
......
Q.
If
P
(
x
)
be a polynomial of degree
3
satisfying
p
(
−
1
)
=
10
,
p
(
1
)
=
−
6
and
p
(
x
)
has maxima at
x
=
−
1
and
p
(
x
)
has minima at
x
=
1
. Find the distance between the local maxima and local minima of the curve.
Q.
If
p
(
x
)
be a polynomial of degree
3
satisfying
p
(
1
)
=
10
,
p
(
1
)
=
6
and
p
(
x
)
has maximum at
x
=
1
and
p
(
x
)
has minima at
x
=
1.
Find the distance between the local maximum and local minimum of the curve.
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