form a quadratic polynomial where zeros are -3 and -4
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quadratic polynomial in terms of the zeroes (α,β) is given by
x2 -(sum of the zeroes) x + (product of the zeroes)
i.e,
f(x) = x2 -(α +β) x +αβ
Now,
Given that zeroes of a quadratic polynomial are -3 and 4
let α = -3 and β= 4
Therefore, substituting the value α = -3 and β= 4 we get
f(x) = x2 -(α + β) x +αβ
= x2 - ( -3 + 4) x +(-3)(4)
=x2 - x -12
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