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Byju's Answer
Standard IX
Mathematics
Zeroes of the Polynomial
What is the s...
Question
What is the sum of zeroes of the polynomials
p
(
x
)
=
3
x
−
6
and
q
(
x
)
=
4
x
−
12
?
A
4
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B
5
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C
6
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D
7
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Solution
The correct option is
B
5
We get the zero of a polynomial by equating the polynomial to zero
∴
Zero of
p
(
x
)
⇒
3
x
−
6
=
0
⇒
3
x
=
6
⇒
x
=
2
Also, Zero of
q
(
x
)
⇒
4
x
−
12
=
0
⇒
4
x
=
12
⇒
x
=
3
Sum of zeroes = 2 + 3 = 5
Suggest Corrections
0
Similar questions
Q.
The polynomials
p
(
x
)
=
2
x
2
+
3
x
+
b
and
q
(
x
)
=
x
2
+
4
x
+
6
leave the same remainder when divided by
x
−
2
. What is the value of b?
Q.
What is the sum of the degrees of the polynomial
p
(
x
)
=
x
3
+
4
x
+
2
and
q
(
x
)
=
x
2
+
2
x
+
5
?
Q.
The L.C.M. of two polynomials
p
(
x
)
and
q
(
x
)
is
(
x
+
3
)
(
x
−
2
)
2
(
x
−
6
)
and their H.C.F. is
(
x
−
2
)
. If
p
(
x
)
=
(
x
+
3
)
(
x
−
2
)
2
, then
q
(
x
)
=
________
Q.
The L.C.M of two polynomials p(x) and q(x) is
(
x
+
3
)
(
x
−
2
)
2
(
x
−
6
)
and their H.C.F is (x-2). If
p
(
x
)
=
(
x
+
3
)
(
x
−
2
)
2
,
then
q
(
x
)
=
.
.
.
.
.
.
.
.
.
.
Q.
Question 6
For which values 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
?
which zeroes of p (x) are not the zeroes of q(x)?
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