[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-493581-105":59,"doc-detail-493581-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","lesson-6-1-polynomial-functions","Lesson 6-1 - Polynomial Functions","","Lesson 6-1 focuses on polynomial functions, defining polynomials and key terms such as degree, standard form, leading coefficient, and constant term. Students classify polynomials by degree and number of terms, write expressions in standard form, and interpret examples as monomials, binomials, trinomials, or higher-term polynomials. The lesson also applies graphing calculator techniques (LinReg, QuadReg, CubicReg) to select the best-fitting model and estimate values from given tables.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/lesson-6-1-polynomial-functions/493581/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/lesson-6-1-polynomial-functions/493581.png","ImageObject",300,407,{"name":92,"@type":93},"MrHarris58","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-10-01",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you determine the degree of a polynomial?","Question",{"text":112,"@type":113},"The degree of a polynomial is the largest degree of any term in the polynomial. A term’s degree is determined by the exponent of the variable in that term.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is standard form of a polynomial?",{"text":117,"@type":113},"A polynomial in standard form has terms in descending order by degree.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you use a graphing calculator to choose the best model?",{"text":121,"@type":113},"Enter the data, then use LinReg, QuadReg, and CubicReg to find the best-fitting linear, quadratic, and cubic models. Graph the models and compare their fit to the table values.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},493581,1791715699,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39,"preview_page_count":4},687212988360,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Name  Class  Date   \nLesson 6-1 (pp. 300–306) Polynomial Functions  \n\n| Lesson Objectives\u003Cbr>1 Classifying polynomials\u003Cbr>2 Modeling data using polynomial functions\u003Cbr>\u003Cbr>| NAEP 2005 Strand: Algebra\u003Cbr>Topic: Algebraic Representations\u003Cbr>Local Standards:   |\n| --- | --- |\n\n Vocabulary and Key Concepts.  \n\n| Polynomial Function\u003Cbr>P(x) 􀀁 anxn 􀀂 an 􀀃 1xn 􀀃 1 􀀂 ... 􀀂 a1x 􀀂 a0 where n is a nonnegative integer\u003Cbr>and the coefficients an, . . . , a0 are real numbers.\u003Cbr>|  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n|  | Degree | Name Using\u003Cbr>Degree | Polynomial\u003Cbr>Example | Number of\u003Cbr>Terms |  | Name Using Number of Terms |  |\n| 0 constant 6\u003Cbr>1 linear x 􀀂 6\u003Cbr>2 quadratic 3x2\u003Cbr>3 cubic 2x3 􀀃 5x2 􀀃 2x\u003Cbr>4 quartic x4 􀀂 3x2\u003Cbr>5 quintic 􀀃2x5 􀀂 3x2 􀀃 x 􀀂 4 |  |  |  | 1 | monomial binomial\u003Cbr>monomial trinomial\u003Cbr>binomial\u003Cbr>polynomial of 4 terms |  |  |\n|  |  |  |  | 2 |  |  |  |\n|  |  |  |  | 1 |  |  |  |\n|  |  |  |  | 3 |  |  |  |\n|  |  |  |  | 2 |  |  |  |\n|  |  |  |  | 4 |  |  |  |\n|  |  |  |  |  |  |  |  |\n\nA polynomial is  a monomial or the sum of monomials.  The degree of a term is determined by  the exponent of the variable in that term.   \nThe standard form of a polynomial has  terms in descending order by degree.   \nP (x) 􀀁  2 x3 􀀃 5x2 􀀃  \nLeading Quadratic  \ncoefficient term  \n2x  \n􀀂 5 Polynomial  \nConstant term  \nterm term  \nThe degree of a polynomial is  the largest degree of any term of the polynomial.   \n© Pearson Education, Inc ., pub lishing as Pearson Prent ice Ha l l . All rights reserved .  \n110 Lesson 6-1 Algebra 2 Daily Notetaking Guide  \n© Pearson Education, Inc ., pub lish ing as Pearson Prent ice Ha l l . All rights reserved .  \nName  Class  Date    \n Examples.  \n1  \n2  \nClassifying Polynomials Write each polynomial in standard form. Then classify it by degree and by number of terms.  \na. 9 􀀂 x3 x3 􀀂 9  \nb.  \n3  \nx 􀀃  \n􀀃3x4  \n2x2 􀀃 3x4  \n􀀂 􀀃  \n2x  \n2  \nThe term with the largest degree is so the polynomial is degree 3 . It has two terms. The polynomial is a  \n3  \n, x  \ncubic binomial  \n.  \nThe term with the largest degree is 􀀃3x4, so the polynomial is degree 4 . It has three terms. The polynomial is a  \nquartic trinomial  \n.  \nComparing Models Using a graphing calculator, determine whether alinear, quadratic, or cubic model best fits the values in the table.  \nEnter the data. Use the LinReg, QuadReg, and CubicReg options of a graphing calculator to find the best-fitting model for each polynomial classification.  \nGraph each model and compare.  \n\n| x | y |\n| --- | --- |\n| 0 | 2.8 |\n| 2 | 5 |\n| 4 | 6 |\n| 6 | 5.5 |\n| 8 | 4 |\n\nCubic model  \nQuadratic model Linear model  \nThe quadratic model appears to best fit the given values.  \nCheck Understanding.  \n1. Write each polynomial in standard form. Then classify it by degree and by number of terms.  \na. 4x 􀀃 6x 􀀂 5 b. 3x3 􀀂 x2 􀀃 4x 􀀂 2x3 c. 6 􀀃 2x5  \n􀀁2x 􀀂 5; linear binomial  \n5x3 􀀂 x2 􀀁 4x; cubic trinomial  \n􀀁2x5 􀀂 6; quintic binomial  \nAlgebra 2 Daily Notetaking Guide Lesson 6-1 111  \nName  Class  Date    \nExample.  \n3  \nUsing Cubic Functions The table shows data on the number of employees that a small company had from 1975 to 2000. Find a cubic function to model the data. Use it to estimate the number of employees in 1988.  \nEnter the data. Let 0 represent 1975. To find a cubic model, use the CubicReg option of a graphing calculator. Graph the model.  \n\n| Year | Number of\u003Cbr>Employees |\n| --- | --- |\n| 1975 | 60 |\n| 1980 | 65 |\n| 1985 | 70 |\n| 1990 | 60 |\n| 1995 | 55 |\n| 2000 | 64 |\n\nCubicRegy=ax3+bx2+cx+da=.0096296296 b=–.3753968254 c=3.541005291 d=58.96031746 R2= .7827380952  \nThe function f(x) 􀀁 0.00963x3 􀀃 0.3754x  \n2  \n􀀂 3.541x 􀀂 58.96 is  \nan approximate model for the  \ncubic  \nfunction.  \nTo estimate the number of employees for 1988, you can use the Table function option of a graphing calculator to find that f(13) 􀀁 62.71. According to the model, there were about  63 employees  in 1988.  \nCheck Understanding.  \n2. Can you use","cbCaihLfXhtdoFRp","https://ap.wps.com/l/cbCaihLfXhtdoFRp","pdf",100065,"English","# Lesson Objectives\n## Vocabulary and Key Concepts\n## Classifying Polynomials\n## Comparing Models with a Graphing Calculator\n## Check Understanding\n## Using Cubic Functions","[{\"question\":\"How do you determine the degree of a polynomial?\",\"answer\":\"The degree of a polynomial is the largest degree of any term in the polynomial. A term’s degree is determined by the exponent of the variable in that term.\"},{\"question\":\"What is standard form of a polynomial?\",\"answer\":\"A polynomial in standard form has terms in descending order by degree.\"},{\"question\":\"How do you use a graphing calculator to choose the best model?\",\"answer\":\"Enter the data, then use LinReg, QuadReg, and CubicReg to find the best-fitting linear, quadratic, and cubic models. Graph the models and compare their fit to the table values.\"}]","Lesson 6-1 - Polynomial Functions | PDF",1790884233]