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\n\"Understand\n\n
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\nLesson Planet Curated\n
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\nUnderstand the Relationship Between Zeros and Factors of Polynomials: Common Core High School Algebra\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nIn order to graph a polynomial, students need to find the factors. This resource starts with the Remainder Theorem and then examines the factors in relationship to the graph. Resources also look at multiplicities and finishes with...\n
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Activity
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\n\"Polynomial\n\n
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\nHouston Area Calculus Teachers\n
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\nPolynomial Graphing\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nYour AP Calculus learners probably have their ID numbers memorized, but have they tried graphing them? Pique your pupils' interest by asking each to create a unique polynomial function based on their ID numbers, and then analyze the...\n
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Lesson Plan
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\n\"Awesometh\n\n
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\nK20 LEARN\n
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\nAwesometh Degree of a Function\n

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\n\nFor Teachers\n\n10th - 11th\n\nStandards\n
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\nBuild up a polynomial. Learners use printed cards to create polynomials. Using a graphing utility, pupils make comparisons between the polynomials they built. To further cement the concept, they build upon their algebraic vocabulary as...\n
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Unit Plan
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\n\"Module\n\n
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\nMathematics Vision Project\n
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\nModule 4: Polynomial Functions\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nBridge the gap between graphical and algebraic representations. Learners complete six lessons that begin by pointing out connections between the key features of a polynomial graph and its algebraic function. Later, pupils use the...\n
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Lesson Plan
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\n\"The\n\n
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\nEngageNY\n
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\nThe Remainder Theorem\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nTime to put it all together! Building on the concepts learned in the previous lessons in this series, learners apply the Remainder Theorem to finding zeros of a polynomial function. They graph from a function and write a function from...\n
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Worksheet
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\n\"Unit\n\n
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\nFlipped Math\n
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\nUnit 2 Review: Polynomial Functions\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nWrap it all up in a box. Pupils review the key concepts from an Algebra 2 polynomial functions unit by working 19 problems. Problems range from using the Remainder Theorem to find remainders and finding factors; sketching graphs by...\n
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Assessment
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\n\"Arithmetic\n\n
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\nMathematics Assessment Project\n
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\nArithmetic with Polynomials and Rational Expressions\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nIt all starts with arithmetic. An educational resource provides four items to use in summative assessments. The items reflect the basic skill level required by the standards in the domain and are designed to have...\n
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Lesson Plan
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\n\"Graphing\n\n
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\nEngageNY\n
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\nGraphing Factored Polynomials\n

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\n\nFor Students\n\n10th - 12th\n\nStandards\n
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\nYoung mathematicians graph polynomials using the factored form. As they apply all positive leading coefficients, pupils demonstrate the relationship between the factors and the zeros of the graph.\n
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Lesson Plan
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\n\"Iterating\n\n
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\nCurated OER\n
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\nIterating the Function and Complex Numbers\n

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\n\nFor Teachers\n\n7th - 10th\n
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\nStudents identify the end behavior of polynomial graphs. In this algebra instructional activity, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an...\n
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Instructional Video7:47
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\nHow Do You Graph a Quadratic Equation with No Solution?\n

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\n\nFor Teachers\n\n8th - 11th\n
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\nThere are many ways to solve a quadratic equation. Let's check out how to solve a quadratic equation by graphing. But first, let's find the axis of symmetry and the vertex before making a table of values. Write the values as ordered...\n
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Instructional Video2:58
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\nCurated OER\n
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\nHow Do You Find the Vertex of a Quadratic Function?\n

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\n\nFor Teachers\n\n8th - 11th\n
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\nTrying to find the vertex of a quadratic equation? Remember that the vertex is the minimum or maximum point of the quadratic equation and can be identified on a graph of the equation. First use the axis of symmetry formula to find the...\n
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Worksheet
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\n\"Math\n\n
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\nCurated OER\n
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\nMath Honors 2: Semester 1 Review\n

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\nIn this worksheet, learners review topics from Algebra 2. Topics include synthetic division, rational algebraic expressions, quadratic functions, imaginary number, composite functions, and inverse of a function. The three-page worksheet...\n
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Lesson Plan
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\n\"Functions\n\n
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\nCurated OER\n
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\nFunctions in Motion\n

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\n\nFor Teachers\n\n6th - 9th\n
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\nStudents graph polynomials functions and analyze the end behavior. In this algebra lesson, student differentiate between the different polynomials based on the exponents. They use a TI to help with the graphing.\n
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eBook
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\n\"Ck\n\n
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\nCK-12 Foundation\n
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\nCk 12: Algebra Ii: 1.4 Characteristics of Polynomial Graphs\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nThis lesson explores graphs of polynomial equations including how to find the maximum and minimum y-values on a polynomial function.\n
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Activity
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\n\"Paul's\n\n
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\nPaul Dawkins\n
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\nPaul's Online Notes: Algebra: Polynomial Functions\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nStudents investigate how to sketch and find solutions to higher degree polynomials. Topics explored are dividing polynomials, roots of polynomials, graphing polynomials, and finding zeroes of polynomials. Class notes, definitions, and...\n
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Unit Plan
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\n\"Cuemath:\n\n
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\nCuemath\n
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\nCuemath: Polynomial Functions\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nA comprehensive guide for learning all about polynomial functions with definitions, the highest degree of the polynomial, graphing polynomial functions, range and domain of polynomial functions, solved examples, and practice questions.\n
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Handout
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\n\"Purplemath:\n\n
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\nPurple Math\n
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\nPurplemath: Polynomial Graphs: End Behavior\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nExplains how to recognize the end behavior of polynomials and their graphs. Points out the differences between even-degree and odd-degree polynomials, and between polynomials with negative versus positive leading terms.\n
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Activity
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\n\"Varsity\n\n
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\nVarsity Tutors \n
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\nVarsity Tutors: Hotmath: Practice Problems: Evaluating and Graphing Polynomials\n

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\n\nFor Students\n\n9th - 10th\n
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\nTwenty-two problems present a variety of practice evaluating and graphing polynomials. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the \"View Solution\"...\n
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\n\"University\n\n
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\nUniversity of Saskatchewan (Canada)\n
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\nUniversity of Saskatchewan: Algebra 2 Review\n

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\n\nFor Students\n\n9th - 10th\n
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\nA more advanced review of Algebra II concepts allows students to test their readiness for higher level math courses. Topics range from absolute value to rational expressions.\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Algebra Ii: Zeros of Polynomials Introduction\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nThe zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero. They are interesting to us for many reasons, one of which is that they tell us about the x-intercepts of the polynomial's graph. We will also see...\n
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Unit Plan
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\n\"Ck\n\n
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\nCK-12 Foundation\n
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\nCk 12: Analysis: Graphing Polynomials\n

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\n\nFor Students\n\n10th - 12th\n
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\n[Free Registration/Login may be required to access all resource tools.] This lesson covers finding the minimum(s), maximum(s), end behavior, domain, and range of a polynomial graph. Students examine guided notes, review guided practice,...\n
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Handout
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\n\"University\n\n
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\nUniversity of Saskatchewan (Canada)\n
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\nUniversity of Saskatchewan: Graphing Polynomials\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nAn introduction to the graphs of polynomial functions by looking at the roots of the polynomials, or where it crosses the x-axis. Includes links to pictures of graphs and detailed explanations.\n
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Unit Plan
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\n\"Ck\n\n
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\nCK-12 Foundation\n
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\nCk 12: Analysis: Graphs of Polynomials Using Zeros\n

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\n\nFor Students\n\n11th - 12th\n\nStandards\n
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\n[Free Registration/Login may be required to access all resource tools.] In this lesson students use ''X'' and ''Y'' intercepts to graph polynomials of 3rd degree or higher. Students examine guided notes, review guided practice, watch...\n
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Activity
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\n\"Texas\n\n
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\nTexas Instruments\n
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\nTexas Instruments: Mc Dougal Littell Algebra 1: Graph Polynomial Functions\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nStudents can use the TI-84 Plus family to check the sum or difference of polynomial functions.\n
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