<PRE><B>Question 89866</B>
Rewrite the middle term as the sum of two terms and then factor completely. 10x^2 + 19x + 6 
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You want two numbers whose product is a*c=10*6 = 60
and whose sum is b=19
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The numbers are 4 and 15.
So replace the 19x by 4x+15x to get:
10x^2+4x+15x+6
Factor the 1st two terms and the last two terms separately:
2x(5x+2)+3(5x+2)
Factor again to get the answer:
(5x+2)(2x+3)
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Cheers,
Stan H.

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