Question 350908
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
2x^2 + 27x + 13
5x^2 − 2x − 7
10x^2 − 7x − 3
8x^2 − 11x + 3 
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1st: 2x^2 + 13x + 15
a = 2 ; b = 13 ; c = 15
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Think of two numbers whose product is a*c = 30
and whose sum is b = 13.
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Ans: The numbers are 10 and 3
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Rewrite the problem replacing 13x by 10x+3x to get:
2x^2 + 10x + 3x + 15
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Factor the 1st two and the last two terms separately:
2x(x+5)+3(x+5)
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Factor again to get the factored answer.
(x+5)(2x+3)
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Cheers,
Stan H.
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Each of the remaining problems is factored the same way.
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Cheers,
Stan H.