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Byju's Answer
Standard X
Mathematics
Quadratic Polynomials
Which of the ...
Question
Which of the following expressions are polynomial expressions?
1. 𝟏𝟏
2.
x
10
+
y
−
3
+
t
50
3.
√
3
x
2
3
−
2
x
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Solution
Ans. 1. Polynomial
2. Non-Polynomial
3. Polynomial
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Similar questions
Q.
Find all the zeroes of the polynomial
p
(
x
)
=
2
x
4
−
9
x
3
+
5
x
2
+
3
x
−
1
if two of its zeroes are
2
+
√
3
and
2
−
√
3
.
Q.
Verify whether 2, 3 and
1
2
are the zeroes of the polynomial 𝒑(𝒙)=
2
x
3
–
1
1
x
2
+
1
7
x
–
6
.
Q.
A teacher asked 10 of his students to write a polynomial in one variable on paper. He asked them to handover the paper. The following were the answers given by the students:
𝟐𝒙 + 𝟑,
3
x
2
+ 𝟕𝒙 + 𝟐,
4
x
3
+
3
x
2
+
2
,
x
3
+
√
3
x
+ 𝟕, 𝟕𝒙 +
√
7
,
5
x
3
−
7
x
+
2
,
2
x
2
+
3
−
5
x
, 𝟓𝒙 −
1
2
,
a
x
3
+
b
x
2
+
c
x
+
d
, 𝒙 +
1
x
.
Based on the information above, answer the following questions:
(𝒊) How many of the above ten, are not polynomials?
(𝒊𝒊) How many of the above ten, are quadratic polynomials?
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.
If the zeroes of the polynomial
x
2
+
p
x
+
q
are double in value to the zeroes of
2
x
2
−
5
x
–
3
, find the value of 𝒑 and 𝒒.
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