The sum of the zeros and the product of zeros of a quadratic polynomial are -1/2 and ‒3 respectively. Write the polynomial.

We know that,

We can find the quadratic polynomial if we know the sum of the roots and product of the roots by using the formula:

x^{2} – (Sum of the zeroes)x + Product of zeros

∴ x^{2} – (-1/2) x + (- 3)

∴ The required polynomial is x^{2} + - 3

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