Math, asked by aditi240125, 1 month ago

find a quadratic polynomial
whose sum of zeroes is 0 and product of zeroes is 1/4​

Answers

Answered by rishithreddynelaturi
0

Let α and β are zeros of required quadratic polynomial.

⇒ α+β=4 ---- ( 1 ) [ given ]

⇒ αβ=1 ----- ( 2 ) [ Given ]

The required polynomial,

x

2

−(α+β)x+(αβ)=0

Now, using ( 1 ) and ( 2 )

⇒ x

2

−4x+1=0

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