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Start with the given expression
Factor out the GCF
Sort the terms
Looking at
we can see that the first term is
and the last term is
where the coefficients are 1 and 2 respectively.
Now multiply the first coefficient 1 and the last coefficient 2 to get 2. Now what two numbers multiply to 2 and add to the middle coefficient -5? Let's list all of the factors of 2:
Factors of 2:
1,2
-1,-2 ...List the negative factors as well. This will allow us to find all possible combinations
These factors pair up and multiply to 2
1*2
(-1)*(-2)
note: remember two negative numbers multiplied together make a positive number
Now which of these pairs add to -5? Lets make a table of all of the pairs of factors we multiplied and see which two numbers add to -5
| First Number | Second Number | Sum | | 1 | 2 | 1+2=3 |
| -1 | -2 | -1+(-2)=-3 |
None of these pairs of factors add to -5. So the inner expression cannot be factored
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Answer:
So that means
factors to
(