Answer:
(x-1)(x+3)
Explanation:
To factorize, let's first find two integers that have a sum of 2 and a product of -3...
3*(-1)=-3
3+(-1)=3-1=2
Then, we can split 2x into 3x and -1x...
x²-1x+3x-3
Split the equation in half, and factor each half separately...
Factoring is essentially dividing each term by their greatest common factor
x²-1x
They both have an x, so you can factor that out...
x(x-1)
3x-3
They both have a 3, so you can factor that out...
3(x-1)
x(x-1)+3(x-1)
Since both x and 3 are being multiplied by x-1, we can combine them to get...
(x-1)(x+3)