# Polynomial factor-Nightmare

Algebra Level 5

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

Note: $$x$$ is a variable, while $$y$$ and $$z$$ are constants.

×