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​

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Julia 2 weeks 2021-11-15T05:36:49+00:00 1 Answer 0 views 0

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  1. Emma
    0
    2021-11-15T05:38:23+00:00

    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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