Polynomial factor-Nightmare

Algebra Level 5

If x2x1{ x }^{ 2 }-x-1 is a factor of zx20+yx19+1,{ zx }^{ 20 }+{ yx }^{ 19 }+1, then what is the value of z?\lvert z\rvert?

Note: xx is a variable, while yy and zz are constants.

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