Find the product:

Question:

Find the product:
(9x2 − x + 15) × (x2 − 3)

Solution:

By horizontal method:

$\left(9 x^{2}-x+15\right) \times\left(x^{2}-3\right)$

$=x^{2}\left(9 x^{2}-x+15\right)-3\left(9 x^{2}-x+15\right)$

$=9 x^{4}-x^{3}+15 x^{2}-27 x^{2}+3 x-45$

$=9 x^{4}-x^{3}-12 x^{2}+3 x-45$

 

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