Answer
x= $1$, multiplicity $1$,crosses the x-axis
x=$-2,$ multiplicity $2$, touches the x-axis and turns
x$=-5$, multiplicity $3$, crosses the x-axis
Work Step by Step
Multiplicity and x-intercepts (page 354):
If $(x-r)$ appears k times in a full factorization of f(x),
then r is a zero with multiplicity k.
If $r$ is a zero of even multiplicity,
then the graph touches the x-axis and turns around at $r$.
If $r$ is a zero of odd multiplicity,
then the graph crosses the x-axis at $r$.
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x= $1$, multiplicity $1$, (odd), crosses the x-axis
x=$-2,$ multiplicity $2$, (even), touches the x-axis and turns
x$=-5$, multiplicity $3$, (odd), crosses the x-axis
