questions-XII-D-Edu.Moodle.GheorgheSincai.Liceu-20150405-1134 cat si rest 1-K Se dau polinoamele f = #f si g = #g unde «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»g«/mi»«mo»§#160;«/mo»«mo»§#8712;«/mo»«msub»«mi mathvariant=¨normal¨»§#8484;«/mi»«mn»5«/mn»«/msub»«mo»[«/mo»«mi»t«/mi»«mo»]«/mo»«/math» .

Dca notam cu q si r catul si respectiv restul impartirii lui f la g , atunci :

(in enunt lipseste simbolul «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8743;«/mo»«/math»deasupra coeficientilor polinomului ; nu il folositi nici la

introducerea rezultatului )

]]> 1.0000000 0.3333333 0 0 q =#qr = #r]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>extension</mi><mo>(</mo><msub><integers/><mn>5</mn></msub><mo>,</mo><mi>a</mi><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mi>b</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>c</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>d</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>polynomial</mi><mo>(</mo><mi>k</mi><mo>,</mo><mi>t</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>=</mo><mi>t</mi><mo>+</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>=</mo><mi>quo</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>g</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>rem</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>g</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>t</mi><mn>3</mn></msup><mo>+</mo><mn>4</mn><mo>*</mo><msup><mi>t</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn><mo>*</mo><mi>t</mi><mo>+</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>+</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>t</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>q</mi><mspace linebreak="newline"/><mi>r</mi><mo> </mo><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="casSession"/></localData></question>