Question

if the zeros of the polynomial 5x3 - 7 x + K are reciprocal of each other then the value of k is

Answer 1

Heya......!!!!

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The polynomial should be Quadratic in ur question as about the third is not given
So ,

Given polynomial :- 5x² -7x+ K

Zeroes are reciprocal of each other , So ,,

Let the zeroes be =  a and 1/a .

=> Product of zeroes = (a)(1/a) => Constant term/Coefficient of x² = > 1 = K/5

➡➡ => K/5 = 1 = K = 5

Value if K = 5 and Polynomial = 5x² - 7x + 5

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Hope It Helps You ^_^