precalculus MA 440 PNET Homework Section 25 Homework Score 0

MA 440 PNET Homework: Section 2.5 Homework Score: 0 of 8 pts o 2.5.1 s 1 of 14 (0 complete) Use the Rational Zero Theorem to list all possible rational zeros for the given function. tx)·2-22-14x-10 ch Choose the answer below that lists all possible rational zeros. To OA 1,1,-10,10 O B. -1.1,-2.2,-5,5,-10,10 oc 14-22-6-100 oc. -1-22-5-10.10,-101 OC. 1.1.-22.-5.5,-10,0,-\'5 2 2\' 5\'5 10\' 10 OD. 1.1. 10 10 Cick to select your answer and then click Check Answer. All parts showing Clear All

Solution

1)
p = -10 , q = 1
Factors of q = 1
factors of p = 1 , 2 , 5 , 10

Rule is to find all possible combos of
\"factor of p\" divided by \"factor of q\"

1/1 , 2/1 , 5/1 , 10/1

So, now, all possible pos and neg values...
1 , -1 , 2 , -2 , 5 , -5 , 10 and -10

Option B

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2)
p = 6
q = 3
Factors of p : 1 , 2 , 3,6
Factors of q : 1 , 3

Now, find all combos again....

1/1 , 2/1 , 3/1 , 6/1 , 1/3 , 2/3 , 3/3 , 6/3

So, now, pos and neg....
-1 , 1 , -2 , 2 , -3 , 3 , -6 , 6 , -1/3 , 1/3 ,
-2/3 , 2/3

Option B

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3)
p = 39
q = 9

Factors of p : 1 , 3 , 13 , 39
Factors of q : 1 , 3 , 9

Now, p / q....

1/1 , 1/3 , 1/9 , 3/1 , 3/3 , 3/9 , 13/1 , 13/3 , 13/9 , 39/1 , 39/3 , 39/9

Now, pos and neg...

-1,1,-1/3,1-3,-1/9,1/9,-3,3,-13,13,-13/3,13/3,-13/9,13/9,-39,39

Option C

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x^3 - 3x^2 - 25x + 50

q = 1
p = 50
Factors of p : 1 , 2 , 5 , 10 , 25 , 50
Factors of q : 1

Now, p/q.....

1/1 , 2/1 , 5/1 , 10/1 , 25/1 , 50/1

Pos and neg values...

-1 , 1 , -2 , 2 , -5 , 5 , -10 , 10 , -25 , 25 , -50 , 50