Let's factor the expression by ourselves. Since the leading coefficient is 1, we need to find two numbers whose sum is -17 and whose product is -60. Even though -5 and-12 add to -17, these are not the correct numbers as their product is not -60. Let's look at all the factors of -60 to see which ones have a sum of -17.
Factors | 1(-60) | 2(-30) | 3(-20) | 4(-15) | 5(-12) | 6(-10) |
---|---|---|---|---|---|---|
Sum | -59 | -28 | -17 | -11 | -7 | -4 |
Since the sum of 3 and -20 is -17, and their product is -60, these are the numbers we are looking for. With this information, we can correctly factor the given expression.