# How is this possible?

Geometry Level 4

In the figure, $$\angle ADC=\angle BCD=90^\circ$$, $$AD \parallel EF \parallel BC$$, $$AC=7$$, $$BD=3$$ and $$EF=2$$. If $$P(x)$$ is the minimal monic polynomial with integer coefficients which has $$CD$$ as one of its roots, find $$P(1)$$.

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