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Byju's Answer
Standard VIII
Mathematics
Polynomials
The values of...
Question
The values of
b
for which the expression
x
2
−
7
x
b
−
1
+
4
will be a polynomial are
A
Natural numbers
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B
Whole numbers
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C
Real numbers
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Solution
The correct option is
A
Natural numbers
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Similar questions
Q.
Given that, for all real
x
,
the expression
x
2
−
2
x
+
4
x
2
+
2
x
+
4
lies between
1
3
and
3
. The values between which the expression
9.
3
2
x
+
6.
3
x
+
4
9.
3
2
x
−
6.
3
x
+
4
lies are
Q.
If
α
is a zero of the polynomial
p
(
x
)
=
x
4
+
x
2
−
1
, then the value of the expression
α
6
+
2
α
4
can not be
Q.
If
α
,
β
are roots of the equation
x
2
+
a
x
+
b
=
0
then Find the value of expression
(
α
−
β
)
2
4
will be
Q.
The values of
a
which makes the expression
x
2
−
a
x
+
1
−
2
a
2
always positive for real values of
x
are
Q.
(a) For real values of x, prove that the value of the expression
11
x
2
+
12
x
+
6
x
2
+
4
x
+
2
cannot lie between
−
5
and
3
(b)
x
2
+
(
a
−
b
)
x
+
(
1
−
a
−
b
)
=
0
,
a
,
b
ϵ
R
. Find the condition on a, for which both roots of the equation are real and unequal.
(c) Determine the values of x which satisfy the inequalities
x
2
−
3
x
+
2
>
0
and
x
2
−
3
x
−
4
≤
0
.
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