Questions: Completely factor the trinomial, if possible. 5x^2+26x+5

Transcript text: Completely factor the trinomial, if possible. \[ 5 x^{2}+26 x+5 \]

Solution

Solution Steps

Step 1: Identify the Trinomial

We start with the trinomial: $5x^2 + 26x + 5$

Step 2: Factor the Trinomial

We need to factor the trinomial into the form $(ax + b)(cx + d)$ . By inspection or using a factoring method, we find: $5x^2 + 26x + 5 = (x + 5)(5x + 1)$

Final Answer

$\boxed{(x + 5)(5x + 1)}$

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