Answer:
Either: 1 neg, 3 pos, 0 imaginary; 1 neg, 1 pos, 2 imaginary
Step-by-step explanation:
Look for the positive possibilities first. Count the numbe of sign changes then subtract 2, if possible, as many times as you can.
There are 3 sign changes. So the possible positive roots are either 3 or 1.
Now look for the negative possibilities. Replace each x with a -x and then count the sign changes. Replacing with -x's gives you this polynomial:

There is only one sign change here, so the possible negative roots is 1. Start with the negative roots to find the possible combinations of positive, negative, and imaginary, since there is only 1.
- 1 1
+ 3 1
i 0 2
Since this is a 4th degree, the number of roots we have has to add up to equal 4.
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hope this helps
Problema Solution
Terrance and Jesse are training for a long-distance race. Terrance trains at a rate of 6 miles every half hour, and Jesse trains at a rate of 2 miles every 15 minutes.
How long will each person take to run a total of 50 miles at the given rates?
Answer provided by our tutors
d = 50 mi the distance
t1 = the time of Terrance
t2 = the time of Jesse
Terrance trains at a rate of 6 miles every half hour thus his rate is:
v1 = 6/0.5 = 12 mph
Jesse trains at a rate of 2 miles every 15 minutes thus his rate is:
v2 = 2/(15/60) = 8 mph
since speed = distance/time follows time = distance/speed:
t1 = d/v1
t1 = 50/12
t1 = 4 1/6 hr
t1 = 4 hr 10 min
t2 = d/v2
t2 = 50/8
t2 = 6 1/4 hr
t2 = 6 hr 15 min
Terrance will run 4 hours and 10 minutes.
Jesse will run 6 hours and 15 minutes.