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\frac{1}{2}x^{3}+4x^{2}-\frac{25}{2}x-100
Use the distributive property to multiply x^{2}-25 by \frac{1}{2}x+4.
\frac{1}{2}x^{3}+4x^{2}-\frac{25}{2}x-100
Use the distributive property to multiply x^{2}-25 by \frac{1}{2}x+4.