Question

Find a quadratic polynomial whose sum of zeros is √5 and product of zeros is

3
/4​

Answer 1

Answer:

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

Answer 2

ANSWER:

Given, 

⇒Sum of zeros :   S=25−3

and 

⇒Product of zeros :  P=−21

⇒The required quadratic equation p(x)=(x2−Sx+P), where k is real constant.

⇒p(x)=[x2+253x−21]

Now,P(x)=0

∴0=[x2+253x−21]

Multiply by 25

⇒Polynomial:25x2+3x−5

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