Question

how do you solve 32+18r+r^2?

Answer 1

To solve  32 + 18r + (1)r^2,   Find two numbers that multiply to 32 and add to 18.  In general, to solve  c + br + ar^2,  find two numbers multiplying to ac and adding to b.

It helps to make a table,

 

#'s multiplying to 32   |   What do they add to?

       1 * 32                     |      33

       2 * 16                     |      18

       4 *  8                      |       12

        

2 and 16 are the winners.   32 + 18r + r^2 = (2+r) (16+r)  Check by FOIL