Answer:
376 miles each day
Step-by-step explanation:
If Angie's grandma wants to drive the same distance each day, she can divide her journey in to two equal halves.
The total distance that Angie's grandma has to drive is 752 miles so each day she may need to drive,
miles
Also, it takes 12 hours to drive 752 miles, so the speed at which Angie's grandma should drive is,
At this speed if she drives 6 hours a day, she may need to drive,
miles in a day.
<u>Here are your fill-ins:</u>
r = 1 is a zero, so (r-1) is a factor.
r = -1 is a zero, so (r+1) is a factor.
The remainders from synthetic division are 0 each time.
See the attachment for the synthetic division numbers.
_____
The reduced quadratic is ...
... x² -6x +13 = 0
Solving by completing the square, we have ...
... (x -3)² = -4
... x = 3 ± 2i
_____
The quadratic formula would tell you ...
... x = (-(-6) ± √((-6)² -4(1)(13)))/(2·1) = (6±√-16)/2 = 3±2i
