Question 1207397
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I will re-write the solution by @greenestamps, correcting mistakes there.

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{{{(x-p)(x+q)=x^2+(p-q)x-pq}}}<br>
The requirements are that (1) p and q are positive integers; (2) -p+q = -1, or p = q+1; and (3) pq is less than 100.<br>
Simple enumeration shows that p can have any integer value from 2 to 10 inclusive.  That's 9 values.<br>
ANSWER: 9<br>

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Now everything is correct.