Answer :

Let α and β be the zeros of the polynomial p(x) = ax^{2} + bx + c.

Given, α + β = –4 ; αβ = 9

p(x) = x

^{2}- (α + β) x + αβ = 0

Putting the values in this equation we get,

p(x) = x^{2} - (- 4) x + 9

p(x) = x^{2} + 4x + 9

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