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2. Polynomials
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Q15 of 90 Page 2

Find a cubic polynomial with the sum of its zeroes, sum of the products of its zeroes taken two at a time and product of its zeroes as the numbers given below:

Let the zeroes be α, β and γ.


Then, we have





Now, required cubic polynomial





So, 7x3 – 5x2 + x – 1 is the required cubic polynomial which satisfy the given conditions.


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Find a cubic polynomial with the sum of its zeroes are 0, – 7 and – 6 respectively.

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Find a cubic polynomial with the sum of its zeroes, sum of the products of its zeroes taken two at a time and product of its zeroes as the numbers given below:

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15

Find a cubic polynomial with the sum of its zeroes, sum of the products of its zeroes taken two at a time and product of its zeroes as the numbers given below:

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Find a cubic polynomial with the sum of its zeroes, sum of the products of its zeroes taken two at a time and product of its zeroes as the numbers given below:

Questions · 90
2. Polynomials
1 2 3 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 4 5 6 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 13 13 1 2 3 3 3 3 3 3 3 3 4 5 6 6 6 6 6 6 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 10 11 11 11 11 12 13 14 15 15 15 15
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