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Find a cubic polynomial with the sum, s...

Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time, and the product of its zeroes as `2,\ 7,\ 14` respectively.

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To find a cubic polynomial with the given conditions, we will follow these steps: ### Step 1: Understand the relationships between the coefficients and the roots For a cubic polynomial of the form \( ax^3 + bx^2 + cx + d = 0 \), if the roots are \( \alpha, \beta, \gamma \), then we have: - The sum of the roots: \( \alpha + \beta + \gamma = -\frac{b}{a} \) - The sum of the product of the roots taken two at a time: \( \alpha\beta + \beta\gamma + \alpha\gamma = \frac{c}{a} \) - The product of the roots: \( \alpha\beta\gamma = -\frac{d}{a} \) ...
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