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Byju's Answer
Standard IX
Mathematics
(x±a)(x±b) = x²±(a+b)x+ab.
For which val...
Question
For which value of a and b, the zeroes of
q
(
x
)
=
x
3
+
2
x
2
+
a
are also the zeroes of the polynomial
p
(
x
)
=
x
5
−
x
4
−
4
x
3
+
3
x
2
+
3
x
+
b
?
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Solution
⇒
3
−
a
−
4
=
0
,
3
a
+
3
=
0
,
b
−
2
a
=
0
⇒
−
a
−
1
=
0
,
3
(
a
+
1
)
=
0
,
b
=
2
a
⇒
−
a
=
1
,
a
=
−
1
,
b
=
2
a
∴
a
=
−
1
,
b
=
2
a
=
2
×
−
1
=
−
2
∴
a
=
−
1
,
b
=
−
2
'
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Similar questions
Q.
Question 6
For which values of a and b, the zeroes of
q
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x
)
=
x
3
+
2
x
2
+
a
are also the zeroes of the polynomial
p
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x
)
=
x
5
–
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4
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x
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Q.
For which values of
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q
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)
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x
3
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2
x
2
+
a
also the zeros of the polynomial
p
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x
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=
x
5
−
x
4
−
4
x
3
+
3
x
2
+
b
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Q.
If three zeroes of a polynomial
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−
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√
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Q.
The degree of the polynomial obtained when
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−
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x
+
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2
−
7
x
3
+
x
5
is subtracted from
x
4
−
6
x
3
+
x
2
−
3
x
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is:
Q.
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p
(
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x
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x
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x
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x
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=
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3
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=
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(x±a)(x±b) = x²±(a+b)x+ab.
Standard IX Mathematics
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