Question 344880
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
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Substitute 10x+3x for 13x
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2x^2+10x+3x+15
Factor the first 2 and last 2 terms separately.
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2x(x+5)+3(x+5)
Factor again to get the final answer.
(x+5)(2x+3)
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2x2 + 27x + 13
Same procedure:
2x^2+26x+x+13
2x(x+13)+(x+13)
(x+13)(2x+1)
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5x2 − 2x − 7
Same procedure:
5x^2-7x+5x-7
x(5x-7)+(5x-7)
(5x-7)(x+1)
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10x^2 − 7x − 3
The numbers are -10 and +3
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8x^2 − 11x + 3
The numbers are -8 and -3
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cheers,
Stan H.