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Donat el polinomi p(x) = #p
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Si les arrels d'un polinomio mònic (tal que el coeficient de grau més gran és 1) de grau 2 són a i b, la descomposició en factors es <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mi»a«/mi»«/mrow»«/mfenced»«mo»·«/mo»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mi»b«/mi»«/mrow»«/mfenced»«/math»</span>.
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a., b., c., ...
A., B., C., ...
1., 2., 3., ...
i., ii., iii., ...
I., II., III., ...
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Choice 1
Answer
La suma de les seves arrels és #alfa
Grade
None
100%
90%
83.33333%
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75%
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66.66667%
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33.33333%
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16.66667%
14.28571%
12.5%
11.11111%
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-14.28571%
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Feedback
Desenvolupa i simplifica l'expressión <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mi»a«/mi»«/mrow»«/mfenced»«mo»·«/mo»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mi»b«/mi»«/mrow»«/mfenced»«/math»</span> i sabràs quin terme correspon a la suma de les arrels.
Choice 2
Answer
La suma de les seves arrels és #beta
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
-30%
-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Desenvolupant, tenim que <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mi»a«/mi»«/mrow»«/mfenced»«mo»·«/mo»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mi»b«/mi»«/mrow»«/mfenced»«mo»=«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mo»(«/mo»«mi»a«/mi»«mo»+«/mo»«mi»b«/mi»«mo»)«/mo»«mi»x«/mi»«mo»+«/mo»«mi»a«/mi»«mo»·«/mo»«mi»b«/mi»«/math»</span>, per tant, la suma de les arrels és el coeficient del terme de grau 1 canviat de signe.
Choice 3
Answer
La suma de les seves arrels és #gamma
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
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-66.66667%
-70%
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-83.33333%
-90%
-100%
Feedback
Desenvolupa i simplifica l'expressió <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mi»a«/mi»«/mrow»«/mfenced»«mo»·«/mo»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mi»b«/mi»«/mrow»«/mfenced»«/math»</span> i veuràs que aquest coeficient és el producte de les arrels.
Choice 4
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
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-33.33333%
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-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
Choice 5
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
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-83.33333%
-90%
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Feedback
Choice 6
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
-5%
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-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
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-66.66667%
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-75%
-80%
-83.33333%
-90%
-100%
Feedback
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100%
50%
33.33333%
25%
20%
10%
0%
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Hint 2
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Created
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on
Wednesday, 12 June 2013, 1:03 PM
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on
Wednesday, 12 June 2013, 1:03 PM
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