why is any real number the zero of 0?

Answer 1

y = x^2 has an x intercept or zero = 0

f(0) = 0

when y=0, x=0

graphically, the equation is an upward opening parabola with vertex = the origin = (0,0) = x intercept = y intercept

It's a zero with multiplicity two

y = x^2 = x(x)

set each factor = 0

x=0, x= 0. the zero repeats, so it has multiplicity two.