1.

Find a quadratic polynomial sum and product of its zeros are 4, 1​

Answer»

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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,

X2 −(α+β)x+(αβ)=0

Now, using ( 1 ) and ( 2 )

⇒ x2 −4x+1=0

\huge\fbox\red{HOPE\:IT\: HELPS\: YOU}


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