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Find a Cubic Polynomial with the Sum, Sum of the Product of Its Zeroes Taken Two at a Time, and Product of Its Zeros as 3, −1 and −3 Respectively. - Mathematics

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प्रश्न

Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time, and product of its zeros as 3, −1 and −3 respectively.

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उत्तर

Any cubic polynomial is of the form ax3 + bx2 + cx + d = x3 − sum of zeroes (x2)[product of zeroes] + sum of the products of its zeroes × - product of zeroes

= 𝑥3 − 2𝑥2 + (3 − 𝑥) + 3

= k [𝑥3 − 3𝑥2 − 𝑥 − 3]

k is any non-zero real numbers

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पाठ 2: Polynomials - Exercise 2.2 [पृष्ठ ४३]

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आरडी शर्मा Mathematics [English] Class 10
पाठ 2 Polynomials
Exercise 2.2 | Q 2 | पृष्ठ ४३

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