SOLUTION: 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

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 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       Log On


   

Question 366571: 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

HELP PLEASE??
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The second one, 2x%5E2+%2B+27x+%2B+13, can be solved by
careful inspection.
First I notice that 2%2A13+%2B+1+=+27. I want to arrange
the factors so I get this result for the coefficient of x
%282x+%2B+1%29%2A%28x+%2B+13%29 accomplishes this.
---------------------------
For the 4th one, 10x%5E2++-+7x++-+3 , I try 10x and x
for the factors of 10x%5E2. Then I try -1 and 3
for the factors of -3. This gives me
%2810x+%2B+3%29%2A%28x+-+1%29 as the answer with -7 as the coefficient of x