Answer :
Let 
and 
be roots of the quadratic polynomial
The quadratic polynomial is given by x2 – (α + β)x + αβ = 0…(1)
Let us Find α + β
⇒ α + β = 6 …(i)
Now lets Find αβ
Using identity (a + b)(a – b) = a2 – b2
…(ii)
Putting values of (α + β) and αβ from (i) and (ii) in (1)
Multiplying throughout by 25
⇒ 25x2 – 150x + 222 = 0
Hence the quadratic is 25x2 – 150x + 222 = 0
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