find the polynomial whose zeroes are reciprocals of the zeroes of the polynomial 2x^2 +3x-6 Question find the polynomial whose zeroes are reciprocals of the zeroes of the polynomial 2x^2 +3x-6 in progress 0 Math Julia 2 weeks 2021-11-15T05:36:49+00:00 2021-11-15T05:36:49+00:00 1 Answer 0 views 0

## Answers ( )

Answer:Dear Student.

SOLUTION:—

Let P(x) = 2×2 + 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 – 6×2 = 0

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

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