write a quadratic polynomial sum of whose zeroes is 2 and. product -8​

write a quadratic polynomial sum of whose zeroes is 2 and. product -8​

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  1. →[tex]\huge\purple{\underline{\mathcal{Solution}}}[/tex]

    →α + β = 2

    →αβ= -8

    [tex]→K( {x}^{2} – ( \alpha + \beta )x + \alpha \beta )[/tex]

    [tex]→K( {x}^{2} – 2x – 8)[/tex]

    [tex]\boxed{\pink{\sf{x²-2x-8}}}[/tex]

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