Factor the trinomial:5, x, squared, plus, 39, x, plus, 285x 2 +39x+28

The trinomial you provided seems to be a bit confusing. However, if you're asking to factor the trinomial 5x^2 + 39x + 28, here are the steps:

1. Identify the coefficients and constant in the trinomial. In this case, a = 5, b = 39, and c = 28.

2. Look for two numbers that multiply to give ac (which is 528 = 140) and add up to b (which is 39). The numbers that fit these conditions are 35 and 4 because 354 = 140 and 35 + 4 = 39.

3. Rewrite the middle term of the trinomial as the sum of the terms 35x and 4x. This gives us 5x^2 + 35x + 4x + 28.

4. Factor by grouping. The first two terms can be grouped together, and the last two terms can be grouped together. This gives us 5x(x + 7) + 4(x + 7).

5. Notice that (x + 7) is a common factor. Factor out this term to get the final answer: (5x + 4)(x + 7).

So, the factors of the trinomial 5x^2 + 39x + 28 are (5x + 4) and (x + 7).