Question

If the sum and product of zeroes of a polynomial are 5 and 17 respectively write the polynomial

Answer 1

Heya ,,,

Solution here
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we have to find quadratic Polynomial if we know the sum of zeros and product of zeros

By using formula =

x^2 - ( α + β )x + αβ

=> x^2 - (5)x + 17

=> x^2 - 5x+ 17

Hence , the required Polynomial is
x^2 - 5x + 17 .

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Answer 2

Heya !!!




Sum of zeroes = 5


And,





Product of zeroes = 17.




Therefore,



Required polynomial = X²-(Sum of zeroes)X + Product of zeroes





=> X²-(5)X + 17




=> X²-5X + 17




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