Answer
Fill the blanks with
$6,\quad-7\quad 2\quad 3$
Work Step by Step
Zeros theorem:
Every polynomial of degree $n\geq 1$ has exactly $n$ zeros, provided that a zero of multiplicity $k$ is counted $k$ times.
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Counting the multiplicities of the zeros,
$P(x)$ has degree 2+3+1=6
The zeros are 0,4, and -7.
0 has multiplicity 2,
4 has multiplicity 3.
Fill the blanks with
$6,\quad-7\quad 2\quad 3$
