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Question
Find the sum of the zeros and the product of zeros of a quadratic polynomial, are `−1/2` and \ -3 respectively. Write the polynomial.
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Solution
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 zeroes
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 zeroes
`⇒ x^2-(-1/2)x+(-3)`
`⇒x^2+1/2x-3`
Hence, the required polynomial is `x^2+1/2x-3`
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