Find a quadratic polynomial whose zeros are reciprocal of the zeros of

1.	Find a quadratic polynomial whose zeros are reciprocal of the zeros of polynomial P(x) = x2 – x - 6.
Answer» Quadratic polynomial formed=x2+1/6x-1/6 Zeros of x2 -x -6=x2-3x+2x-6x= (X+2)(X -3)X= -2 or3So, it\'s reciprocal = -1/2and1/3.So, -1/2 +1/3= -1/6And, -1/2×1/3= -1/6Thus quadratic polynomial formed =x2+1/6x+1/6 6x2 +x -1

Discussion