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The given trinomial can be factored using factorization as

x²-x-12
=x²-4x+3x-12
=x(x-4)+3(x-4)
=(x-4)(x+3)

Thus x-4 and x+3 are the factors of the given trinomial. From these we can see x+3 is listed in option A

So the answer to this question is Option A

The Vertex of the parabola is V=(-5,-2)=(h,k)→h=-5, k=-2
This is a vertical parabola, then its equation has the form:
y=a(x-h)^2+k
Relacing h=-5 and k=-2
y=a(x-(-5))^2+(-2)
y=a(x+5)^2-2

When the x-value is -4, the y-value is 2. What is the coefficient of the squared expression in the parabola's equation:
a=?
x=-4, y=2→2=a(-4+5)^2-2
2=a(1)^2-2
2=a(1)-2
2=a-2
2+2=a-2+2
4=a
a=4

The coefficient of the squared expression in the parabola's equation is 4

Option B. 4