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The sum and product of the zeros of a quadratic polynomial are and — 3 respectively. What is the quadratic polynomial?
Sum of zeroes (α + β) = −(1/2)
Product of zeroes (αβ) = −3
As we know that the quadratic polynomial with zeroes α, β is given by;
x2 − (α + β)x + (αβ)
= x2 − [−(1/2)]x + (−3)
= x2 + (1/2)x – 3