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<p>Fie polinomul P(X)=#P.</p> <p>1. Soluţiile ecuaţiei P(x)=0 în «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathvariant=¨normal¨»§#8450;«/mi»«/math» sunt:</p> <p style="margin-left: 30px;">x1={:MCH:~\#x11 #Greşit!~\#x12 #Greşit!~=\#x1 #Corect!}</p> <p style="margin-left: 30px;">x2={:MCH:~\#x21 #Greşit!~\#x22 #Greşit!~=\#x2 #Corect!} </p> <p style="margin-left: 30px;">x3={:MCH:~\#x31 #Greşit!~\#x32 #Greşit!~=\#x3 #Corect!}</p> <p style="margin-left: 30px;">x4={:MCH:~\#x41 #Greşit!~\#x42 #Greşit!~=\#x4 #Corect!}.</p> <p>2.</p> <p>a) Valoarea expresiei «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«msub»«mi»x«/mi»«mn»1«/mn»«/msub»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«msub»«mi»x«/mi»«mn»2«/mn»«/msub»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«msub»«mi»x«/mi»«mn»3«/mn»«/msub»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«msub»«mi»x«/mi»«mn»4«/mn»«/msub»«msup»«mn»2«/mn»«mo»§#160;«/mo»«/msup»«/msup»«/math» este {:MCH:~\#S11 #Greşit!~\#S12 #Greşit!~=\#S1 #Corect!}</p> <p>b) Valoarea expresiei «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»1«/mn»«msub»«mi»x«/mi»«mn»1«/mn»«/msub»«/mfrac»«mo»+«/mo»«mfrac»«mn»1«/mn»«msub»«mi»x«/mi»«mn»2«/mn»«/msub»«/mfrac»«mo»+«/mo»«mfrac»«mn»1«/mn»«msub»«mi»x«/mi»«mn»3«/mn»«/msub»«/mfrac»«mo»+«/mo»«mfrac»«mn»1«/mn»«msub»«mi»x«/mi»«mn»4«/mn»«/msub»«/mfrac»«/math» este {:MCH:~\#S21 #Greşit!~\#S22 #Greşit!~=\#S2 #Corect!}.</p> <p>3. Dat polinomul Q(X)=#Q, atunci:</p> <p>câtul împărţirii lui P la Q este {:MCH:~\#cat1 #Greşit!~\#cat2 #Greşit!~=\#cat #Corect!}</p> <p>iar restul acestei împărţiri este {:MCH:~\#rest1 #Greşit!~\#rest2 #Greşit!~=\#rest #Corect!}.</p>
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Monday, 20 October 2014, 3:00 PM
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