After dilligent study, and tedious leafing through the textbooks that you sent me in the post, I have designed your second ring. Here is what it will look like:
xsquared-x-6
Step 1: Put the last term into the top section of the diamond problem. Put the second term into the bottom section. Solve. In this case, the top would be -6 and the bottom -1. The two middle numbers would therefore be -3 and 2, because their product is the top number, and their sum is the bottom number.
Step 2: Input each middle number into this format: (x+/-number)
(x-3) (x+2)
Step 3: Find the number that would be used to get the value of the numbers to zero, and input them into the above format.
Answer: (x+3)(x-2)
Sincerely,
Morkesh
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