Question:
Find the product:
(x2 − 3x + 7) × (2x + 3)
Solution:
By horizontal method:
$\left(x^{2}-3 x+7\right) \times(2 x+3)$
$=2 x\left(x^{2}-3 x+7\right)+3\left(x^{2}-3 x+7\right)$
$=2 x^{3}-6 x^{2}+14 x+3 x^{2}-9 x+21$
$=2 x^{3}-3 x^{2}+5 x+21$
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