[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-274682-105":3,"doc-detail-274682-en":81,"detail-sidebar-cat-0-en-105":97},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","monomials-binomials-polynomials-worksheet-degree-identification-and-operations","Monomials, Binomials & Polynomials - Worksheet - Degree Identification and Operations","","Practice worksheet focused on identifying the type and degree of polynomials, including single-variable and multi-variable cases. Exercises require determining each polynomial’s degree from the highest exponents, supported by key rules for monomials, binomials, and multi-term polynomials. Learning content also guides multiplying and adding/subtracting monomials, binomials, and polynomials by expanding expressions, using like-term combination, and applying methods such as FOIL.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/monomials-binomials-polynomials-worksheet-degree-identification-and-operations/274682/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/monomials-binomials-polynomials-worksheet-degree-identification-and-operations/274682.png","ImageObject",300,407,{"name":42,"@type":43},"River Wang","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-28","2026-09-15",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",12,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you determine the type of a polynomial from the number of terms?","Question",{"text":63,"@type":64},"Monomials have one term, binomials have two terms, and polynomials have many terms. The worksheet uses this to classify each expression before considering degree.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How is the degree of a single-variable polynomial found?",{"text":68,"@type":64},"The degree is the value of the highest exponent of the variable. The material explains this directly using examples like x2 + 2x + 1 as a second-degree polynomial.",{"name":70,"@type":61,"acceptedAnswer":71},"What method is used to multiply two binomials?",{"text":72,"@type":64},"The worksheet uses the FOIL method (multiplying First, Outer, Inner, Last terms). It shows (x-2)(x-6) expanding into x2 - 8x + 12.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},274682,1789481428,{"code":4,"msg":82,"data":83},"success",{"doc_id":79,"user_id":84,"nickname":42,"user_avatar":85,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":86,"file_id":87,"file_url":88,"file_type":89,"file_size":90,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":91,"language":92,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":93,"faqs":94,"seo_title":95,"seo_description":12,"update_tm":80,"read_time":96},1099514067438,"https://ap-avatar.wpscdn.com/avatar/100002539ee87300030?x-image-process=image/resize,m_fixed,w_180,h_180&k=1780474512215547542","| WORKSHEET :\u003Cbr>\u003Cbr>Monomials, Binomials & Polynomials |\n| --- |\n| Identify the degree of each polynomial:  Degree\u003Cbr>1) x2 + 3x-28\u003Cbr>2) x4 + 12x2 + 35\u003Cbr>3) x2-15x + 56\u003Cbr>4) x2-8x5 + 15\u003Cbr>5) x3 + 7x-144\u003Cbr>6) x8-7x5-144\u003Cbr>7) x2-2x + 1\u003Cbr>8) x2-y2\u003Cbr>9) x2-x + y3 + z2\u003Cbr>10) x2-y |\n\nName: Date:  \n\n| WORKSHEET :\u003Cbr>\u003Cbr>Monomials, Binomials & Polynomials |\n| --- |\n| |\n\n\n| WORKSHEET :\u003Cbr>\u003Cbr>Monomials, Binomials & Polynomials |\n| --- |\n| |\n\n\n| WORKSHEET :\u003Cbr>\u003Cbr>Monomials, Binomials & Polynomials |\n| --- |\n| |\n\n\n| ANSWERS :\u003Cbr>\u003Cbr>Monomials, Binomials & Polynomials |\n| --- |\n| Identify the degree of each polynomial:  Degree\u003Cbr>1) x2 + 3x-28 2nd degree\u003Cbr>2) x4 + 12x2 + 35 4th degree\u003Cbr>3) x2-15x + 56 2nd degree\u003Cbr>4) x2-8x5 + 15 5th degree\u003Cbr>5) x3 + 7x-144 3rd degree\u003Cbr>6) x8-7x5-144 8th degree\u003Cbr>7) x2-2x + 1 2nd degree\u003Cbr>8) x2-y2 4th degree\u003Cbr>9) x2-x + y3 + z2 7th degree\u003Cbr>10) x2-y 3rd degree |\n\n\n| ANSWERS :\u003Cbr>\u003Cbr>Monomials, Binomials & Polynomials |\n| --- |\n| |\n\n\n| ANSWERS :\u003Cbr>\u003Cbr>Monomials, Binomials & Polynomials |\n| --- |\n| |\n\n\n| ANSWERS :\u003Cbr>\u003Cbr>Monomials, Binomials & Polynomials |\n| --- |\n| |\n\nKEY CONCEPTS:  \nLearn to identify the types and degree of polynomials and how to add, subtract and multiply monomials, binomials, and polynomials.  \n1. (Numbr of Terms and Degeres) -The type of polynomial is identified by the number of terms. Each type can be further described by degrees.  \nMonomials have one term. e.g 21, xy2, x etc.  \nBinomials have two terms. e.g x + 1, 5 + xy2, x-y etc.  \nPolynomials have many terms. e.g. x2 + 2x + 1, x3 + 2x2 + x-5 etc.  \na. The degree of a single variable polynomial is the number of the variable's highest exponent.  \nb. x2 + 2x + 1 is a 2nd degree polynomial known as a \"quadratric\" .  \nc. x3 + 2x2 + x-5 is a 3rd degree polynomial known as a\"cubic\" .  \nd. x4 + 2x2 + x-5 is a 4th degree polynomial known as a\"quadric\".  \ne. The degree of a multi variable polynomial is the sum of each variable's highest exponent.  \nf. x4 + 2y2-z-5y is a 7th degree polynomial; 4 for the x-variable, 2 for the yvariable, and do not forget the implied exponent 1 for the z-variable.  \n2. Multiply monmials, binomial. and polynomials.  \na. Monomial × Binomial  \ne.g x(5 + y) = 5x + xy  \nb. Binomial × Binomial (FOIL method) e.g (x-2)(x-6) = x2-8x + 12  \nc. Binomial × Polynomial  \ne.g. (x-2)(x2-8x + 15) = x3-8x2 + 15x-2x2 + 16x-30 = x3-10x2 + 31x-30  \n3. Add and subtract monmials, binomial. and polynomials. Expand the expression to eliminate parentheses then combine like terms.  \na. x2-a2 + 5x2-4a2 = 6x2-5a2 ...combine like terms  \nb. x2-a2- (5x2-4a2) = x2-a2-5x2 + 4a2  \n= -4x2 + 3a2 first expand the expression to eliminate parentheses then...combine like terms","cbCaiaE1zJG2axih","https://ap.wps.com/l/cbCaiaE1zJG2axih","pdf",513260,9,"English","# Identify Polynomial Degree\n# Key Concepts: Types and Degree Rules\n## Monomials, Binomials, Polynomials\n## Degree in Single-Variable vs Multi-Variable\n# Multiply Polynomials\n## Monomial × Binomial\n## Binomial × Binomial (FOIL)\n## Binomial × Polynomial\n# Add and Subtract Polynomials\n## Expand and Combine Like Terms","[{\"question\":\"How do you determine the type of a polynomial from the number of terms?\",\"answer\":\"Monomials have one term, binomials have two terms, and polynomials have many terms. The worksheet uses this to classify each expression before considering degree.\"},{\"question\":\"How is the degree of a single-variable polynomial found?\",\"answer\":\"The degree is the value of the highest exponent of the variable. The material explains this directly using examples like x2 + 2x + 1 as a second-degree polynomial.\"},{\"question\":\"What method is used to multiply two binomials?\",\"answer\":\"The worksheet uses the FOIL method (multiplying First, Outer, Inner, Last terms). 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