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  • Find a quadratic polynomial whose sum and product of its zeros are 4 and 1 respectively.

Find a quadratic polynomial whose sum and product of its zeros are 4 and 1 respectively.

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$ For quadratic equation $ ax^2 + bx + c =0\\ $ Sum of the roots (-b/a)= 4 \\ Product of roots (c/a)= 1 $\\ x^2 + (b/a)x + (c/a) =0\\ $ Hence the required quadratic equation is x^2 -4x + 1 =0\\

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Ravindra Pindel

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