You can put this solution on YOUR website! Looking at we can see that the first term is and the last term is where the coefficients are 2 and -2 respectively.
Now multiply the first coefficient 2 and the last coefficient -2 to get -4. Now what two numbers multiply to -4 and add to the middle coefficient 5? Let's list all of the factors of -4:
Factors of -4:
1,2,4
-1,-2,-4 ...List the negative factors as well. This will allow us to find all possible combinations
These factors pair up and multiply to -4
(1)*(-4)
-2*2
(-1)*(4)
note: remember, the product of a negative and a positive number is a negative 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
-4
1+(-4)=-3
-2
2
-2+(2)=0
-1
4
-1+4=3
None of these pairs of factors add to 5. So the expression cannot be factored
Double check your book/worksheet to make sure that you have the correct problem.
(