Find a Polynomial of Degree 3 with Real Coefficients That $- 5$

Find a polynomial of degree 3 with real coefficients that satisfies the given conditions.
-Zero of $- 5$ having multiplicity 2 and zero of 10 having multiplicity $1 ; P ( 0 ) = - 250$

A) $P ( x ) = x ^ { 3 } - 2 x ^ { 2 } - 8 x - 250$
B) $P ( x ) = x ^ { 3 } - 75 x - 250$
C) $P ( x ) = x ^ { 3 } - 75 x ^ { 2 } - 250$
D) $P ( x ) = x ^ { 3 } + x ^ { 2 } - 75 x - 250$

Correct Answer:

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