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