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Math·Advanced Math·Nonlinear functions

hard

A polynomial $f$ has zeros at $x=-2$, $x=1$, and $x=6$. The zero at $x=1$ has even multiplicity, and the other two zeros have odd multiplicity. Which statement must be true?

A

The graph crosses the $x$-axis at all three zeros.

B

The graph touches but does not cross at $x=1$.

C

$f(0)=0$.

D

The degree of $f$ is exactly 4.