Write the quadratic polynomial , sum of whose zeroes is 4 and product
is - 6 .
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⇒ Let α and β are zeros of required quadratic polynomial.
⇒ α+β = 4 ---- ( 1 ) [ given ]
⇒ αβ = -6 ----- ( 2 ) [ Given ]
The required polynomial,
x² −(α+β)x+(αβ)=0
Now, using ( 1 ) and ( 2 )
⇒ x² −4x -6=0
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