Answer:
B. y=x²-x-6
Step-by-step explanation:
Consider the product ...
0 = (x -a)(x -b) = x² -(a+b)x +ab
This equation has solutions x=a and x=b. You will note that ...
- the constant is the product of the solutions (ab)
- the coefficient of x is the opposite of their sum (-(a+b))
For solutions of -2 and 3, the constant will be (-2)(3) = -6. This eliminates choices C and D.
The sum of the solutions is -2+3 = 1, so the coefficient of x is -1, matching choice B.
