Question

find the polynomial whose zeroes are reciprocals of the zeroes of the polynomial 2x^2 +3x-6​

Answer 1

Answer:

Dear Student.

SOLUTION:---

Let P(x) = 2x2 + 3x - 6.

Given that the polynomial whose zeroes are reciprocal of the zeroes of the polynomial

let x = 1 / x

P(1 / x) = 0

= 2(1 / x)2 + 3(1 / x) - 6 = 0

= 2 + 3x - 6x2 = 0

∴ The reciprocal of the zeroes of the polynomial 6x2 -3x - 2 = 0

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