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प्रश्न
Find a cubic polynomial with the sum of its zeroes, sum of the products of its zeroes taken two at a time and the product of its zeroes as 5, –2 and –24 respectively.
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उत्तर
We know the sum, sum of the product of the zeroes taken two at a time and the product of the zeroes of a cubic polynomial then the cubic polynomial can be found as x3 – (sum of the zeroes)x2 + (sum of the product of the zeroes taking two at a time)x – product of zeroes.
Therefore, the required polynomial is x3 – 5x2 – 2x + 24.
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