Answer:
y = (x - 8)(x + 6)
Step-by-step explanation:
In order to turn this into factored form, you need to find which two numbers add to -2 and multiply to -48. First, identify factors and see which ones have a difference of 2:
2 × 24
3 × 16
4 × 12
6 × 8
6 and 8 have a difference of 2 and multiply to 48. In order for them to add to -2 and multiply to -48 though, one must be negative. You can tell that 8 will be negative because -8 + 6 = -2 and -8 × 6 = -48.
At this point, you can write the factored form:
y = (x - 8)(x + 6)
(If you want to check your answer, you can just multiply the binomials using FOIL and see if they are the same as the given quadratic function)
