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Questions
Find the sum of the zeros and the product of zeros of a quadratic polynomial are `-1/2` and –3 respectively. Write the polynomial.
The sum of 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
x2 – (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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