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

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

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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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