Question

What is a multiplicity

Answer 1

are you talking about polynomials?

Answer 2

roots or zeroes of a polynomial?

Answer 3

Yeah, context matters.

Answer 4

yes the roots and zeros of a polynomial sorry

Answer 5

Specifically the zero is a 7 and the multiplicity is 2

Answer 6

okay, a polynomial generally describes a curve on a graph. zeroes are the points on the curve where the curve intersects the horizontal axis or the independent axis. multiplicity of a root simply defines how many times the curve intersects the horizontal axis.
for example, the curve
(x+2)(x-3) = 0 has roots at x = -2 and x = 3
that means the curve intersects the x axis at x = -2 once and x =3 once.
in other words, the root -2 has multiplicity of 1 for the curve(x+2)(x-3)
and the root 3 has multiplicity of 1 for the curve(x+2)(x-3).
in your case
the curve is (x-7)^2 = 0
this means the curve intersects the x axis twice at x = 7.
that is, the root 7 has multiplicity of 2 for the curve (x-7)^2 = 0