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To factor:

10x2 + 27x - 28

Find two values that add up to 27, our middle coefficient, and which multiply to make -280, the product of the other two coefficients. In this case, those two values would be 35 and -8. Now break the middle term down with those two values, and factor:

= 10x2 + 35x - 8x - 28

= 5x(2x + 7) - 4(2x + 7)

= (5x - 4)(2x + 7)

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Q: How do you factor 10x2 plus 27x - 28?
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