Find a quadratic
polynomial whose sum
and product
of zero
(a) 0,-10/3
(b) 5/7,0
(c)root 2 ,-12
(d) -2 root 3 ,-9
Answers
Answered by
0
Answer:
Step-by-step explanation:
If α,β are roots of the quadratic equation, then the equation can be written as :x
2
−x(α+β)+αβ=0
Similarly, the quadratic equation for above problem is :
x
2
−x(
3
−10
)+7=0
⇒
3
x
2
+10x+7
3
=0
Answered by
0
Given,
⇒Sum of zeros : S=
2
5
−3
and
⇒Product of zeros : P=−
2
1
⇒The required quadratic equation p(x)=(x
2
−Sx+P), where k is real constant.
⇒p(x)=[x
2
+
2
5
3
x−
2
1
]
Now,P(x)=0
∴0=[x
2
+
2
5
3
x−
2
1
]
Multiply by 2
5
⇒Polynomial:2
5
x
2
+3x−
5
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⇒Sum of zeros : S=
2
5
−3
and
⇒Product of zeros : P=−
2
1
⇒The required quadratic equation p(x)=(x
2
−Sx+P), where k is real constant.
⇒p(x)=[x
2
+
2
5
3
x−
2
1
]
Now,P(x)=0
∴0=[x
2
+
2
5
3
x−
2
1
]
Multiply by 2
5
⇒Polynomial:2
5
x
2
+3x−
5
Plz mark me in brain list
Plz plz
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