The polynomial of degree
3
\displaystyle {3}
3
,
P
(
x
)
\displaystyle {P}{\left({x}\right)}
P
(
x
)
, has a root of multiplicity
2
\displaystyle {2}
2
at
x
=
5
\displaystyle {x}={5}
x
=
5
and a root of multiplicity
1
\displaystyle {1}
1
at
x
=
−
5
\displaystyle {x}=-{5}
x
=
−
5
. The
y
\displaystyle {y}
y
-intercept is
y
=
−
75
\displaystyle {y}=-{75}
y
=
−
75
.
Find a formula for
P
(
x
)
\displaystyle {P}{\left({x}\right)}
P
(
x
)
.
P
(
x
)
=
\displaystyle {P}{\left({x}\right)}=
P
(
x
)
=
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