SOLUTION: can you please help me with this home work question? Choose two trinomials from the list below to factor. Using complete sentences, explain how to factor each one. Be sure that th

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Question 344880: can you please help me with this home work 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

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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.
2x^2 + 13x + 15
Think of two numbers whose product is 2*15 = 30
and whose sum is 13
The numbers are 10 and 3
---
Substitute 10x+3x for 13x
---------------------------------
2x^2+10x+3x+15
Factor the first 2 and last 2 terms separately.
---
2x(x+5)+3(x+5)
Factor again to get the final answer.
(x+5)(2x+3)
======================





2x2 + 27x + 13
Same procedure:
2x^2+26x+x+13
2x(x+13)+(x+13)
(x+13)(2x+1)
===================
5x2 − 2x − 7
Same procedure:
5x^2-7x+5x-7
x(5x-7)+(5x-7)
(5x-7)(x+1)
====================
10x^2 − 7x − 3
The numbers are -10 and +3
--------------------------------
8x^2 − 11x + 3
The numbers are -8 and -3
================================
cheers,
Stan H.