To factor the expression
we can start by factoring out the common factor, which is x:
Next, we need to factor the quadratic ( ). We need to find two numbers that multiply to -4 (the constant term) and add to -3 (the coefficient of x).
The pairs of factors of -4 are:
1 and -4
-1 and 4
2 and -2
The pair that adds up to -3 is 1 and -4.
Thus, we can factor (