You can put this solution on YOUR website! In order to factor , first multiply 2 and -2 to get -4 and we need to ask ourselves: What two numbers multiply to -4 and add to -4? Lets find out by listing all of the possible factors of -4
Factors:
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 to multiply to -4.
(-1)*(4)=-4
(-2)*(2)=-4
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
|
-4
|
|
1+(-4)=-3
2
|
-2
|
|
2+(-2)=0
-1
|
4
|
|
(-1)+4=3
-2
|
2
|
|
(-2)+2=0
None of these factors add to -4. So the quadratic cannot be factored.
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