Find the product:


Find the product:
(x3 − 5x2 + 3x + 1) × (x3 − 3)


By horizontal method:

$\left(x^{3}-5 x^{2}+3 x+1\right) \times\left(x^{2}-3\right)$

$=x^{2}\left(x^{3}-5 x^{2}+3 x+1\right)-3\left(x^{3}-5 x^{2}+3 x+1\right)$

$=x^{5}-5 x^{4}+3 x^{3}+x^{2}-3 x^{3}+15 x^{2}-9 x-3$

$=x^{5}-5 x^{4}+16 x^{2}-9 x-3$


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