if alpha and beta are the zeros of the polynomials x²-5x+6 find a polynomial whose zeros are (i)alpha/beta and beta/alpha

By Eva

if alpha and beta are the zeros of the polynomials x²-5x+6 find a polynomial whose zeros are (i)alpha/beta and beta/alpha (ii)alpha+1/alpha-1 and beta+1/beta-1​

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Eva

1 thought on “if alpha and beta are the zeros of the polynomials x²-5x+6 find a polynomial whose zeros are (i)alpha/beta and beta/alpha”

  1. x2-5x+6

    x2-2x-3x+6=0

    x(x-2)-3(x-2)=0

    (x-2)(x-3)=0

    x=2,x=3

    therefore zeroes of polynomial of x2-5x+6 are 2,3

    alpha =2and beta3

    sum of zeroes alpha +beta =-b/a

    2+3=-(-5)/1

    5=5

    product of zeroes are aplha×beta =c/a

    2×3=6

    6=6

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