We start by factoring the quadratic expression \(2x^2 + 9x + 4\). We look for two numbers that multiply to \(2 \times 4 = 8\) and add up to \(9\). These numbers are \(8\) and \(1\). Thus, we can rewrite the quadratic as:
\[ 2x^2 + 8x + x + 4 \]
Grouping the terms,
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