Question

write a quadratic polynomial sum of whose zeroes is 1/4 and product is 1... Answer plss​

Answer 1

⇒ Let α and β are zeros of required quadratic polynomial.

⇒ α+β=4 ---- ( 1 ) [ given ]

⇒ αβ=1 ----- ( 2 ) [ Given ]

The required polynomial,

x² −(α+β)x+(αβ)=0

Now, using ( 1 ) and ( 2 )

⇒ x²−4x+1=0

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