Question

zeros of quadratic polynomial are in the ratio4:5 and their sum is 27 the product of zero in the polynomial​

Answer 1

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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