461.Find a cubic polynomial with the sum, sum of product of its zeroes taken two at a time and the product of its zeroes respectively as given below : –4, 0 and 7
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462.Find a cubic polynomial with the sum, sum of product of its zeroes taken two at a time and the product of its zeroes respectively as given below : 0, 0 and 3
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463.Find a cubic polynomial with the sum, sum of product of its zeroes taken two at a time and the product of its zeroes respectively as given below :
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464.Find a cubic polynomial with the sum, sum of product of its zeroes taken two at a time and the product of its zeroes respectively as given below : 5, –16, –80
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465.Find a cubic polynomial with the sum, sum of product of its zeroes taken two at a time and the product of its zeroes respectively as given below : 5,–2,–24.
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466.Verify that 5, -2 and are the zeroes of the cubic polynomial P(x) = 3x3 – 10x2 – 27x + 10 then verify the relationship between the zeroes and its coefficients.
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467.Verify that 3,–1 and –1/3 are the zeroes of the cubic polynomial p(x) = 3x3 – 5.v2 – 11x -3 and verify the relationship between the zeroes and its coefficients.
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468.Verify that 3, – 2 and 1 are the zeroes of the cubic polynomial x3 – 2x2– 5x + 6 and then verify the relationship between the zeroes and its coefficients.
469.Verify that 1, 1/2 and –2 are the zeroes of the cubic polynomial 2x3 + x2 – 5x + 2 and then verify the relationship between the zeroes and its coefficient.
Solution not provided.
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Short Answer Type
470.If α, β are the zeroes of quadratic polynomial x2 – 8x + p. Find the value of p if α2 + β2= 40.