Question

What are zeros of the polynomial x^2-2x-3

Answer 1

${x}^{2} + x - 3x - 3 = 0$
$x(x + 1) - 3(x + 1) = 0$
$(x + 1)(x - 3) = 0$
$x = - 1 \: or \: x = 3$
so they are the zeroes for given polynomial

Answer 2

${x}^{2} - 2x - 3 = 0 \\ {x}^{2} - 3x + x - 3 = 0 \\ x(x -3 ) + 1(x - 3) = 0\\ (x + 1)(x - 3) = 0 \\ x + 1 = 0 \\ x = - 1 \\ and \\ x -3 = 0 \\ x = 3$