1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
(x±a)(x±b) = x²±(a+b)x+ab.
Find a quadra...
Question
Find a quadratic polynomial if the sum and product of zeros as follows :
The sum of zeros
=
−
3
; the product of zeros
=
−
4
Open in App
Solution
Given,
sum of roots
=
−
3
product of roots
=
−
4
required equation is in the form of,
p
(
x
)
=
x
2
−
(
s
u
m
−
o
f
−
r
o
o
t
s
)
x
+
(
p
r
o
d
u
c
t
−
o
f
−
r
o
o
t
s
)
∴
p
(
x
)
=
x
2
−
(
−
3
)
x
+
(
−
4
)
p
(
x
)
=
x
2
+
3
x
−
4
Suggest Corrections
0
Similar questions
Q.
Find the zeros, the sum of the zeros and the product of the zeros of the quadratic polynomial as follow:
p
(
x
)
=
3
x
2
−
x
−
4
Q.
Find a quadratic polynomial whose sum and product respectively of the zeros are as given. Also, find the zeros of these polynomials by
−
8
3
,
4
3
Q.
Find zeros of quadratic polynomial whose sum and product respectively of the zeroes are
−
8
3
,
4
3
.
Q.
If sum of zeros
=
√
2
, product of its zeros
=
1
3
. The quadratic polynomial is
Q.
Find the sum and product of zeros of the quadratic polynomial
5
x
2
−
8
x
+
3
.
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
(x+a)(x+b)
MATHEMATICS
Watch in App
Explore more
(x±a)(x±b) = x²±(a+b)x+ab.
Standard IX Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app