The product of the given expressions is expressed as a trinomial as: 5/4x² + 9/8x + 1/4.
How to Solve Trinomials?
Given the expressions, (5/2x +1) and (1/2x + 1/4), find the product by multiplying both together as shown below:
(5/2x + 1)(1/2x + 1/4)
Distribute
5/2x(1/2x + 1/4) + 1(1/2x + 1/4)
5/4x² + 5/8x + 1/2x + 1/4
Combine like terms
5/4x² + 9/8x + 1/4
Therefore, the product of the given expressions is expressed as a trinomial as: 5/4x² + 9/8x + 1/4.
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