Answer:
(Score for Question 2: ___ of 5 points)
here is an example: 6x^3+8x^2-7x-3=0
q p
Factors of p: +-1, +- 3
factors of q: +-1, +-2, +-3, +-6
Possible zeros +-p/q
+-1, +-1/2, +-1/3, +-1/6, +-3, +-3/2
Using p/q list all the possible zeros of the following equation:4x^2 – 6x -11 = 0.
Hint:there are 8 correct answers.
Suggested format for answer:
List factors of p:
List factors of q:
List possible zeros:+/- p/q
May also use a punnet square to show 12 possible answers as shown in class (plus and minus each case makes 2 of the 12)
(Score for Question 3: ___ of 5 points)
Hint:remember to fill in any missing degree terms in your dividend with coefficients that are zero to represent missing place holders.Hint2 :Your final remainder is a zero.If you do not get a zero as a remainder, you are doing something wrong.
Answer:
1)
- 3 [ 1 - 1 0 - 3 - 2 ]
- 3 12 -36 117
_________________________
1 -4 12 -39 115 not a root
-1 [ 1 - 1 0 - 3 -2 ]
-1 2 - 2 5
________________________
1 -2 2 -5 3 not a root
2 [ 1 - 1 0 - 3 - 2 ]
2 2 4 2
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1 1 2 1 0 is a root