Explanation:
Multiply one of them by each of the terms in the other, then distribute. Finally, combine like terms.
(ax + b) (cx² + dx + e)
ax (cx² + dx + e) + b (cx² + dx + e)
acx³ + adx² + aex + bcx² + bdx + be
acx³ + (ad+bc) x² + (ae+bd)x + be
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