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Byju's Answer
Standard X
Mathematics
Polynomial
Check whether...
Question
Check whether
(
−
m
l
)
is a zero of the polynomial
p
(
x
)
=
l
x
+
m
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Solution
p
(
−
m
l
)
=
l
(
−
m
l
)
+
m
=
−
m
+
m
=
0
Therfore,
(
−
m
l
)
is
a zero of the polynomial.
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1
Similar questions
Q.
Verify whether the following is zeros of the polynomial, indicated against them.
p
(
x
)
=
l
x
+
m
,
x
=
−
m
l
Q.
Check whether
−
2
,
−
5
are the zeros of the polynomial
p
(
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)
=
x
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+
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x
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Q.
Verify whether the following are zeroes of the polynomial, indicated against them.
(i)
p
(
x
)
=
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x
+
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,
x
=
−
1
3
(ii)
p
(
x
)
=
5
x
−
π
,
x
=
4
5
(iii)
p
(
x
)
=
x
2
−
1
,
x
=
1
,
−
1
(iv)
p
(
x
)
=
(
x
+
1
)
(
x
−
2
)
,
x
=
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,
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(v)
p
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x
)
=
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2
,
x
=
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(vi)
p
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)
=
l
x
+
m
,
x
=
−
m
l
(vii)
p
(
x
)
=
3
x
2
−
1
,
x
=
−
1
√
3
,
2
√
3
(viii)
p
(
x
)
=
2
x
+
1
,
x
=
1
2
Q.
Check whether the polynomial p(x) = 4x
3
+ 4x
2
- x - 1 is a multiple it 2x + 1
Q.
(a) Check whether
(
x
−
1
)
is a factor of the polynomial
p
(
x
)
=
6
x
3
+
3
x
2
(b) What first degree polynomial added to
p
(
x
)
gives a polynomial for which
(
x
2
−
1
)
is a factor?
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