In order to factor  , first we need to ask ourselves: What two numbers multiply to -23 and add to 4? Lets find out by listing all of the possible factors of -23
Factors:
1,23,
-1,-23,List the negative factors as well. This will allow us to find all possible combinations
These factors pair up to multiply to -23.
(-1)*(23)=-23
Now which of these pairs add to 4? Lets make a table of all of the pairs of factors we multiplied and see which two numbers add to 4
| First Number | | | Second Number | | | Sum | | 1 | | | -23 | || | 1+(-23)=-22 | | -1 | | | 23 | || | (-1)+23=22 |
None of these factors add to 4. So this quadratic cannot be factored. In order to solve for x, we need to use the quadratic formula.
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