Problem

Express as a trinomial.
\[
(3 x+4)(2 x+10)
\]

Answer

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Answer

So, the trinomial form of the given expression is \(\boxed{6x^2 + 38x + 40}\).

Steps

Step 1 :Given the expression \((3 x+4)(2 x+10)\), we are asked to express it as a trinomial.

Step 2 :By applying the distributive property (also known as the FOIL method), we multiply each term in the first binomial by each term in the second binomial.

Step 3 :The result of this operation is \(6x^2 + 38x + 40\).

Step 4 :So, the trinomial form of the given expression is \(\boxed{6x^2 + 38x + 40}\).

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