Factor the trinomial:5, x, squared, plus, 26, x, plus, 55x 2 +26x+5

The trinomial you provided seems to be a bit confusing. However, if you meant "5x^2 + 26x + 5", here's how you can factor it:

Step 1: Identify the coefficients and constant term. In this case, a = 5, b = 26, and c = 5.

Step 2: Look for two numbers that multiply to give ac (which is 55 = 25) and add up to give b (which is 26). The numbers 1 and 25 fit these criteria because 125 = 25 and 1+25 = 26.

Step 3: Rewrite the middle term of the trinomial as the sum of the terms 1x and 25x. This gives us 5x^2 + 1x + 25x + 5.

Step 4: Factor by grouping. The first two terms can be grouped together, and the last two terms can be grouped together. This gives us x(5x + 1) + 5(5x + 1).

Step 5: Notice that (5x + 1) is a common factor. Factor out this term to get the final answer: (5x + 1)(x + 5).

So, the factored form of the trinomial 5x^2 + 26x + 5 is (5x + 1)(x + 5).