Answer:
The value of a will be 
Step-by-step explanation:
Start by graphing the parabola and the three points of the triangle. These points are at intersections of y=a(x-1)(x-4) and the axes
so the y = 0 points are (1,0) and (4,0).
The x = 0 intersection is when y=a(-1)(-4) or (0,4a)
The base and height of this triangle are
The base would be the distance between the y=0 intersections and the height would be the y value of the other vertex.
Hence, base=3 units and height = 4a units. Thus, area can be calculated as


∵ the parabola opens downward therefore a will be negative.
hence, 
check the picture below.
recall that the division is done with the dividend and divisor sorted in descending order, notice the dividend has a jump from x³ to x, so the x² is missing, but is really there, but it has a coefficient of 0, as you see there in red, so we add any missing terms on either side.
The answer is not in the multiple choice options, but I believe the correct answer is x > -0.2
The answer is going to be = 4m + 19
That is what you get after doing all the math