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Byju's Answer
Standard X
Mathematics
Degree of a Polynomial
What is the d...
Question
What is the degree of the polynomial
p
(
x
)
=
2
x
+
3
2
x
3
−
7
.
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Solution
Given the polynomial is
p
(
x
)
=
2
x
+
3
2
x
3
−
7
.
Now the highest power of
x
involved in the equation is
3
.
So it is a degree
3
polynomial.
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Similar questions
Q.
Degree of the polynomial p(x) = 4x
4
+ 2x
3
+ x
5
+ 2x + 7 is:
Q.
What is the degree of polynomial
P
defined by :
P
(
x
)
=
−
5
(
x
−
2
)
(
x
3
+
5
)
+
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?
Q.
Assertion :
lim
x
→
∞
2
x
3
+
3
x
2
−
4
x
+
7
3
x
3
+
4
x
2
−
x
−
9
=
2
3
Reason: If p(x) & q(x) are polynomials then
lim
x
→
∞
p
(
x
)
q
(
x
)
is a finite non zero number if degree of p(x)=degree of q(x).
Q.
What must be added to the polynomial
p
(
x
)
=
2
x
3
+
9
x
2
−
5
x
−
15
, so that the resulting polynomial is exactly divisible by
2
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+
3
.
Q.
What is the degree of the polynomial (x - 7)(2x - 9)?
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