The answer is choice D because the expression 6x^3+x^2-3 is the same as 6x^3+1x^2+0x+(-3). Notice the coefficients are 6, 1, 0, -3
The expression x-7 is in the form x-k where k = 7. This is the test root which is placed outside of the synthetic division bar as shown in choice D.
Answer:
1. C - 8x bigger
2. D - 16x bigger
3. A - 3x bigger
Step-by-step explanation:
We have to write the point-slope equation of the line.
The point is (4,-2) and the slope has to be calculated.
We need another point to calculate the slope. We see that the y-intercept is y = 6, so another point of the line is (0, 6).
We then can calculate the slope with the points (0,6) and (4,-2):

Now that we have the slope m = -2 and the point (4,-2), we can write the equation as:

Answer: y + 2 = -2(x - 4)