Question 1210401
<pre>
In case the instructions were "factor" or "factorise" the quadratic.
the answer is in the form

(Ap+B)(Cp-D)

Since BD must be negative, we choose + for the first parentheses and - for 
the second, so that when we FOIL, the last term will be "-".

We choose positive integers A, B, C, and D, so that 
AC = 9 and BD = 8. 

(p+1)(9p-8) = 9p²+p-8
(p+2)(9p-4) = 9p²+14p-8
(p+4)(9p-2) = 9p²+34p-8
(p+8)(9p-1) = 9p²+71p-8
(3p+1)(3p-8) = 9p²-21p-8
(3p+2)(3p-4) = 9p²-6p-8
(3p+4)(3p-2) = 9p²+6p-8
(3p+8)(3p-1) = 9p²+21p-8
(9p+1)(p-8) = 9p²-71p-8
(9p+2)(p-4) = 9p²-34p-8
(9p+4)(p-2) = 9p²-14p-8
(9p+8)(p-1) = 9p²-p-8

Only one of them is equal to the given quadratic.  
Can you find which one it is?

Edwin</pre>