I don't understand how to prove it's tangent. Help quickly please.

Step-by-step explanation:

by using pythagorean theorem:

XW²+XY²=

(2×6.4)² + 9.6² =

12.8²+9.6²=

163.84 + 92.16= 256

WY²= 16²= 256

so, XW²+XY²=WY²

=> the WXY is a right triangle, and X is a right angle.

so XY is perpendicular to XW as the diameter of circle Z.

and XY is tangent to circle Z

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option