If m and n are the zeros of the polynomial 3x^2+11x-4,find the value o

1.	If m and n are the zeros of the polynomial 3x^2+11x-4,find the value of m/n+n/m.
Answer» According to the question,\xa0m and n are the zeroes of the polynomial 3x2 + 11x - 4,\xa0Let p(x) = 3x2 + 11x - 4 = 0= 3x2 + 12x - x - 4= 3x(x + 4) - 1(x + 4)= (3x - 1) (x + 4)So, zeroes are m =\xa0{tex}\\frac 13{/tex}\xa0and n =-4Now,\xa0{tex}\\frac { m } { n } + \\frac { n } { m } = \\frac { \\left( \\frac { 1 } { 3 } \\right) } { - 4 } + \\frac { - 4 } { \\left( \\frac { 1 } { 3 } \\right) }{/tex}{tex}=\\frac { 1 } { - 12 } - 12{/tex}{tex}= \\frac { - 145 } { 12 }{/tex}

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