Question

If alpha and Beta are the zeroes of polynomial p(x) = ax² + bx+c (a is not equal to 0, c is not equal to 0), find the quadratic polynomial with zeroes (-1/alpha) and (-1/beta).​

Answer 1

Answer:

zeroes =(-1)&(-1)

formula = x²-(sum of zeroes)x +(product of zeroes)

x²-(-1-1)x+[(-1)×(-1)]

x²-(-2)x +(1)

x²+2x +1

hence, the answer is x²+2x+1