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Safari File Edit View History Bookmarks window Help math2.marywood.edu Amazon.com ORCA Cooler and MAA MATHEMATICAL ASSOCIATION OF AMERICA Logged in as asylvester. Log Out > webwork/ math 160-01 fall-2017_hahn /hw8-ch3b/5 HW8-Ch3B: Problem 5 PreviousProblem List Next (1 point) Let 3-2r2 -x+2 0 be a polynomial equation. Find the list of all potential rational solution(s) for the polynomial equation using the Rational Root Theorem. Then, find the actual rational solution/s). 1. Find all potential rational solution(s). Answer (separate by commas): 2. Find all distinct actual rational solution(s). Answer (separate by commas): Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining Email instructor 26

Solution

x^3 - 2x^2 - x + 2 = 0

P = 2
Q =1

Facotrs of P : 1 , 2
Factors of Q : 1

Now, acc to RRT, the possible roots are
all combos of \"factor of p / factor of q\"

As in,
+/- (1,2) / (1)

As in
+/- 1 , +/- 2

So, they are
-2 , -1 , 1 , 2 ----> FIRST ANS

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Lets try 1,
1 - 2 - 1 + 2
-1 + 1 = 0
WORKS!

Lets try -1,
-1 - 2 + 1 + 2
-3+3
0
WORKS!

Lets try 2,
8 - 8 - 2 + 2
0 - 0
0
WORKS AGAIN!

So, roots are :
-1 , 1 , 2 ---> SECOND ANS