Algebra/Unit 4 Quiz 2/Objective 5
Solve by Factoring a=1 3
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»Solve«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»quadratic«/mi»«mo»§#160;«/mo»«mi»below«/mi»«mo»§#160;«/mo»«mi»by«/mi»«mo»§#160;«/mo»«mi»factoring«/mi»«mo».«/mo»«mo»§#160;«/mo»«mi»Your«/mi»«mo»§#160;«/mo»«mi»answer«/mi»«mo»§#160;«/mo»«mi»should«/mi»«mspace linebreak=¨newline¨/»«mi»include«/mi»«mo»§#160;«/mo»«mi»both«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi»factors«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mi»write«/mi»«mo»§#160;«/mo»«mi»after«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mo»§#34;«/mo»«mi»factors«/mi»«mo»§#160;«/mo»«mo»=«/mo»«mo»§#34;«/mo»«mo»§#160;«/mo»«mi»part«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mi»and«/mi»«mspace linebreak=¨newline¨/»«mi»the«/mi»«mo»§#160;«/mo»«mi»solutions«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mi»write«/mi»«mo»§#160;«/mo»«mi»them«/mi»«mo»§#160;«/mo»«mi»after«/mi»«mo»§#160;«/mo»«mi»the«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»=«/mo»«mo»§#160;«/mo»«mi»part«/mi»«mo»)«/mo»«mo».«/mo»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msup»«mtext»x«/mtext»«mn»2«/mn»«/msup»«mtext»-«/mtext»«mo»#«/mo»«mi»b«/mi»«mtext»x-«/mtext»«mo»#«/mo»«mi»c«/mi»«mo»=«/mo»«mn»0«/mn»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«/math»]]>
3.0000000
0.3333333
0
0
factors=(x-#m)(x+#k)x=#mx=-#k]]>
factors=(x-#m)(x+#k)x=-#kx=#m]]>
factors=(x+#k)(x-#m)x=#mx=-#k]]>
factors=(x+#k)(x-#m)x=-#kx=#m]]>
<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>g</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>g</mi><mo>*</mo><mi>h</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>g</mi><mo><</mo><mi>h</mi></mrow><mtable><mtr><mtd><mi>j</mi><mo>=</mo><mo>-</mo><mi>h</mi></mtd></mtr><mtr><mtd><mi>k</mi><mo>=</mo><mi>g</mi></mtd></mtr><mtr><mtd><mi>m</mi><mo>=</mo><mi>h</mi></mtd></mtr></mtable><mtable><mtr><mtd><mi>j</mi><mo>=</mo><mo>-</mo><mi>g</mi></mtd></mtr><mtr><mtd><mi>k</mi><mo>=</mo><mi>h</mi></mtd></mtr><mtr><mtd><mi>m</mi><mo>=</mo><mi>g</mi></mtd></mtr></mtable></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>(</mo><mi>j</mi><mo>+</mo><mi>k</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mi>a</mi><mi>c</mi><mi>t</mi><mi>o</mi><mi>r</mi><mi>s</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>-</mo><mo>#</mo><mi>m</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>+</mo><mo>#</mo><mi>k</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>m</mi><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>-</mo><mo>#</mo><mi>k</mi><mspace linebreak="newline"/></math>]]></correctAnswer><correctAnswer id="1" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mi>a</mi><mi>c</mi><mi>t</mi><mi>o</mi><mi>r</mi><mi>s</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>-</mo><mo>#</mo><mi>m</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>+</mo><mo>#</mo><mi>k</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>-</mo><mo>#</mo><mi>k</mi><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>m</mi></math>]]></correctAnswer><correctAnswer id="2" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mi>a</mi><mi>c</mi><mi>t</mi><mi>o</mi><mi>r</mi><mi>s</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>+</mo><mo>#</mo><mi>k</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>-</mo><mo>#</mo><mi>m</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>m</mi><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>-</mo><mo>#</mo><mi>k</mi></math>]]></correctAnswer><correctAnswer id="3" type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mi>a</mi><mi>c</mi><mi>t</mi><mi>o</mi><mi>r</mi><mi>s</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>+</mo><mo>#</mo><mi>k</mi><mo>)</mo><mo>(</mo><mi>x</mi><mo>-</mo><mo>#</mo><mi>m</mi><mo>)</mo><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>-</mo><mo>#</mo><mi>k</mi><mspace linebreak="newline"/><mi>x</mi><mo>=</mo><mo>#</mo><mi>m</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="check_simplified" correctAnswer="1"/><assertion name="check_simplified" correctAnswer="2"/><assertion name="check_simplified" correctAnswer="3"/><assertion name="syntax_expression"/><assertion name="equivalent_literal"/><assertion name="syntax_expression" correctAnswer="1"/><assertion name="equivalent_literal" correctAnswer="1"/><assertion name="syntax_expression" correctAnswer="2"/><assertion name="equivalent_literal" correctAnswer="2"/><assertion name="syntax_expression" correctAnswer="3"/><assertion name="equivalent_literal" correctAnswer="3"/></assertions><options><option name="implicit_times_operator">true</option><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">3/4 1/8 1/8</data><data name="casSession"/></localData></question>