Step 1. We need to find two integers A and B that A*B=ac and A+B=b where
in order to be factorable and a=3, b=-13 and c=14
Step 2. In the above example, then A*B=(3)(14)=42 and A+B=-13.
Step 3. After trial and error the numbers are A=-6 and B=-7
Step 4. Using step 3, we can use grouping as follows
where
Step 5. Factor out 3x in first group and -7 in second group
Step 6. Factor out (x-2) since it is common in both groups.
ANSWER
We can use the FOIL method to verify
I hope the above steps were helpful.
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