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You multiply each element of the binomial into each element of the trinomial and then combine like terms.

For example,

(ax + b)*(cx2 + dx + e) = acx3 + adx2 + aex + bcx2 + bdx + be

= acx3 + (ad + bc)x2 + (ae + bd)x + be

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Q: How do you get the product of binomial and trinomial?
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