Question

find the zeros of the following polynomial and verify the relationship between the zeros and their coefficients.
x^2-1​

Answer 1

Hey

$f(x) = x {}^{2} - 1 = (x + 1)(x - 1) \\ \\ we \: know \\ f(x) = 0 \\ = > (x - 1)(x + 1) = 0 \\ \\ = > x = - 1 \: or \: 1 \\ \\ sum \: of \: zeros \\ 1 - 1 = 0 \\ \\ product \: of \: zeros \\ (1)( - 1) = - 1$