# Form a quadratic polynomial whose zeroes are and ?

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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