Choose two trinomials from the list below to factor. Using complete sentences, explain how to factor each one. Be sure that the final factorization (or "answer") is a part of your explanation.

2x2 + 13x + 15
2x2 + 27x + 13
5x2 − 2x − 7
10x2 − 7x − 3
8x2 − 11x + 3

Question

Choose two trinomials from the list below to factor. Using complete sentences, explain how to factor each one. Be sure that the final factorization (or "answer") is a part of your explanation. 


2x2 + 13x + 15
2x2 + 27x + 13
5x2 − 2x − 7
10x2 − 7x − 3
8x2 − 11x + 3

anonymous · Answer

I'll do one to explain, if you need help still just ask. 
Factoring : 
Okay so lets choose, 5x2-2x-7 
First multiply 5 by -7 to get -35.
Now find some factors of -35 that subtract to 2 (talking about that 2 in the center*) 
It just so happens that we can use 5, and -7
So, 5x2+5x-7x-7 
See how that is the same as the original equation? just subtract the 7x from 5x, and you get back to -2x.     5x2-2x-7  is back to the original. :] 

Skipping some unnecessary steps, we get
(5x+5)(x-7)     , See where those terms are from? the 5 is from the original equation, that we pulled and multiplied with -7. 
And positive 5 and negative 7 were our numbers that subtract to 2 and multiply to -35.

anonymous · Answer

If you FOIL (5x+5)(x-7) You get the original equation. 
If you do not know how to foil, it's a quick google search under mathematical terms.