find alpha and beta are zeros of polynomial x square – 2 x minus 3 then Alpha minus beta is​

find alpha and beta are zeros of polynomial x square – 2 x minus 3 then Alpha minus beta is​

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Mackenzie

2 thoughts on “find alpha and beta are zeros of polynomial x square – 2 x minus 3 then Alpha minus beta is​”

  1. Given:-

    [tex] {x}^{2} – 2x – 3[/tex]

    on factorizing we get

    [tex] {x}^{2} – 3x + x – 3 \\ so \: we \: get \\ x(x – 3) + 1(x – 3) \\ [/tex]

    [tex]so \: the \: next \: step \: is \: [/tex]

    (x+1) (x-3)

    x+1 =0, x-3 =0

    So x= -1 and x= 3

    so -1 and 3 are zeros of polynomial

    lets take

    [tex] \alpha = – 1 \: and \: \beta \: = 3[/tex]

    so,

    [tex] \alpha – \beta = – 1 – ( + 3) \\ = – 1 – 3 \\ = – 4[/tex]

    Hope you understand thank you

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