Pre-Calc/Chapter 2: Polynomial, Power, and Rational Functions/2.3 Polynomial Functions with Modeling/2.3.2 Find Zeros Find cubic function from zerosFind a cubic function in standard form with the given zeros.
#a , #b , #c
Express answer in this format: f(x) = ax2 + bx + c
]]>1.00000000.333333300f(x)=#answer]]>Great job!]]>
<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>8</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>8</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><mo>-</mo><mn>5</mn><mo>,</mo><mo>-</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>a</mi><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>b</mi><mo>)</mo><mo>*</mo><mo>(</mo><mi>x</mi><mo>-</mo><mi>c</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><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><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="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Find real zeros by factoringFind the zeros of the function.
]]>1.00000000.33333330truetrueABCDYour answer is correct.]]>Your answer is partially correct.]]>Your answer is incorrect.]]>«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«mo»,«/mo»«mo»-«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«/math»]]>Correct!]]>«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«mo»,«/mo»«mo»-«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«/math»]]>Incorrect]]>«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«/math»]]>Incorrect.]]>«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«/math»]]>Incorrect]]>Answer not shown]]>
<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><mo>{</mo><mn>4</mn><mo>,</mo><mn>9</mn><mo>,</mo><mn>16</mn><mo>,</mo><mn>25</mn><mo>,</mo><mn>36</mn><mo>,</mo><mn>49</mn><mo>,</mo><mn>64</mn><mo>,</mo><mn>81</mn><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><msqrt><mi>a</mi></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library></session>]]></wirisCasSession><options><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="casSession"/></localData></question> Find the zeros of the polynomial function and state the multiplicity of each....Find the zeros of the polynomial function and state the multiplicity of each.
f(x) = -6x2(x - 8)(x + 1)3]]>1.00000000.33333330truetrueabc-1, multiplicity 3; 0, multiplicity 2; 8, multiplicity 1Correct-1, multiplicity 3; 0, multiplicity 2; 1, multiplicity 1; 8, multiplicity 1Incorrect-1, multiplicity 1; 1, multiplicity 1; 8, multiplicity 1Incorrect-1, multiplicity 3; 8, multiplicity 1IncorrectMatch the given graph with its polynomial function.Match the given graph with its polynomial function.
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1.00000000.33333330truetrueabc4 + x3 - 12x2 + 10]]>Incorrect5 - 4x3 + 12x2 + 10]]>Incorrect5 - 10x2 - 10]]>Incorrect4 + x3 - 10x2 + 10]]>CorrectUse a graphing calculator to approximate the real zeros of the function ...Use a graphing calculator to approximate the real zeros of the function defined by f(x). Express decimal approximations to the nearest hundredth.
f(x) = 5x4 + 10x3 + 5x2 - 5x + 1]]>1.00000000.33333330truetrueabc-5.08, 0.16Incorrect-2.54, -0.16IncorrectNo real solutionCorrect0.16IncorrectUse a graphing calculator to approximate the real zeros of the function ...Use a graphing calculator to approximate the real zeros of the function defined by f(x). Express decimal approximations to the nearest hundredth.
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