{"id":462,"date":"2023-11-28T18:00:22","date_gmt":"2023-11-28T18:00:22","guid":{"rendered":"https:\/\/staff.kellogg.edu\/coxaanna\/?page_id=462"},"modified":"2023-12-06T21:55:42","modified_gmt":"2023-12-06T21:55:42","slug":"math-140-pre-calculus-chapter-2","status":"publish","type":"page","link":"https:\/\/staff.kellogg.edu\/coxaanna\/math-140-pre-calculus-chapter-2\/","title":{"rendered":"Math 140 Pre-calculus Chapter 2"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/wdj97ou1qkd\">Section 1 Complex Numbers<\/a><br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/140%20Video%20Worksheets\/Chapter%202\/MATH%20140%20Chapter%202.1%20Video%20Notes%20NEW.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/EZx1lQQ93wJOmruAH-xYKQsBRFE_5EuS1v2xi-rXfSq4cA?e=wneVFs\" target=\"_blank\" rel=\"noreferrer noopener\">Complex Numbers<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/bmCSoBjbYGx\">Section 2 Quadratic Graphs<\/a><br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/140%20Video%20Worksheets\/Chapter%202\/MATH%20140%20Chapter%202.2%20Video%20Notes%20NEW.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/Eep6-MxAy6pPu8VIgEmE1OMB9uxkXMaGWtdl6hKJSZxQbg?e=XLQIiO\" target=\"_blank\" rel=\"noreferrer noopener\">Quadratic Graphs<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/F9o3iRFG\">Section 3 End Behavior-Zeros and Multiplicities- Intermediate Value Theorem<\/a><br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/140%20Video%20Worksheets\/Chapter%202\/MATH%20140%20Chapter%202.3%20Video%20Notes%20NEW.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/EZbuQDZgcllPvL6GYSE6UbIBWHnoDGILKwPO-oFSGnyyLQ?e=Ai6w20\" target=\"_blank\" rel=\"noreferrer noopener\">End Behavior-Zeros and Multiplicities- Intermediate Value Theorem<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/yiY137RFo\">Section 4 Dividing Polynomials- Factor and Remainder Theorems<\/a><br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/140%20Video%20Worksheets\/Chapter%202\/MATH%20140%20Chapter%202.4%20Video%20Notes%20NEW.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/EUS_UhoxaTRAhOZGz-b0JWoBQngBUN-ypqIgD0JvCoWUfw?e=8zZM33\" target=\"_blank\" rel=\"noreferrer noopener\">Dividing Polynomials- Factor and Remainder Theorems<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/EifDceDBk\">Section 5 Zeros of Polynomials &#8211;&nbsp;Decartes&#8217;s Rule of Sign<\/a><br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/140%20Video%20Worksheets\/Chapter%202\/MATH%20140%20Chapter%202.5%20Video%20Notes%20NEW.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/EcTbjKaGGDBGlT3csYXapWEB2uCKW3bu1_8X6BDsVoxHfQ?e=wUV669\" target=\"_blank\" rel=\"noreferrer noopener\">Zeros of Polynomials &#8211;&nbsp;Decartes&#8217;s Rule of Sign<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/F4ecg5ppx\">Section 6 Graphing Rational Functions<\/a><br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/140%20Video%20Worksheets\/Chapter%202\/MATH%20140%20Chapter%202.6%20Video%20Notes%20NEW.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/Ed7sxO8fh19OpWhS9vL6D80Bd6rGodQWA7g9y3I1sSZNPA?e=2fYpHS\" target=\"_blank\" rel=\"noreferrer noopener\">Graphing Rational Functions<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/0YLkJ1wFM\">Section 7 Inequalities<\/a><br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/140%20Video%20Worksheets\/Chapter%202\/MATH%20140%20Chapter%202.7%20Video%20Notes%20NEW.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/ET-ds5Kk9t1KjVl8_Z1ocR8Bw1tyIiV8haMp7eRImLXrgQ?e=ml4t9Z\" target=\"_blank\" rel=\"noreferrer noopener\">Inequalities<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/R7869WGiW\">Section 8 Modeling Using Variation<\/a><br><a href=\"https:\/\/academic.kellogg.edu\/coxa\/140%20Video%20Worksheets\/Chapter%202\/MATH%20140%20Chapter%202.8%20Video%20Notes%20NEW.pdf\">Worksheet<\/a> &#8211; <a href=\"https:\/\/kellogg0-my.sharepoint.com\/:b:\/g\/personal\/coxa_kellogg_edu\/ERkDLzebHjVKr7h6mBv3z2wBC431UXQetFrh5BhiEJgBxw?e=VMbLyo\" target=\"_blank\" rel=\"noreferrer noopener\">Modeling Using Variation<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/staff.kellogg.edu\/coxaanna\/math-140-pre-calculus-kellogg-community-college\/\">Return to Anna&#8217;s MATH 140 page<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/staff.kellogg.edu\/coxaanna\/mathematics-professor-anna-cox\/\" target=\"_blank\" rel=\"noreferrer noopener\">Return to Anna&#8217;s home page<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Return to&nbsp;<em><a href=\"http:\/\/www.kellogg.edu\/\">Kellogg Community College<\/a><\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Student Requested Problems<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/5zMa0srN1v\">Perform the Operation and Write in Standard Form 2-1-35<\/a>&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/joscPDQTmmp\">Imaginary Simplification 2-1-39<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/screencast.com\/t\/o9jmC1t3XF\">Overestimating\/Underestimating Wine Consumption and Max\/Min 2.2.19<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/screencast.com\/t\/BpRddcklOf0\">Find a Pair of Numbers Whose Product is as Large as Possible 2.2.61<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/cuEpgmtoXeG\">Find the Zeros of the Polynomial Function 2.3.31<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/vJLLf1XyO3G8\">Use the Intermediate Value Theorem to Show the Polynomial Function has a Zero in the Interval 2.3.37<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/PfF0u6c9qLRl\">Use Long Division to State the Quotient and the Remainder 2-4-1<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/zAagQUtKV\">Use Long Division to Find Quotient and Remainder 2.4.15<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/OFc4ZstKS1aN\">Solve the Equation Given a Root 2-4-45<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/qAupEkJ2GkC\">Rational Zeros and Possible Roots 2-5-9<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/screencast.com\/t\/nPIuAbQc4O\">Use Rational Zero Theorem, Descarte&#8217;s Rule of Signs to Find the First Root 2.5.12<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/screencast.com\/t\/H1T0IfpBk2\">Longer Example: Use Rational Zero Theorem, Descarte&#8217;s Rule of Signs to Find the First Root 2.5.12<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/fLVDnJj9v\">List All Possible Rational Roots, Use Synthetic Division to Find Actual Root&nbsp; 2.5.19<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/uXTER4bJBPMs\">Finding Roots 2-5-19<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/HZqpadMO\">Polynomial from Given Information 2-5-27<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/screencast.com\/t\/z0TYIQcnaemS\">Find Real Zeros of the Given Function Value 2.5.31<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/GovjutPUep\">Use Rational Zero Theorem, Descarte&#8217;s Rule of Signs to Find the First Root 2-5-47<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/m1osSIwNF\">Use Rational Zero Theorem, Descarte&#8217;s Rule of Signs to Find the First Root 2.5.51<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/8l7McC3RyVqg\">Zeros of an Equation 5th Degree 2-5-51<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/4mSFrb0HDpsB\">Find the Zeros of the Function 2-5-55<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/screencast.com\/t\/Xfu3iOT1ai\">Determine the Number of Real Zeros and the Imaginary Zeros 2.5.79<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/screencast.com\/t\/UsG0RSsQneP\">Find the Vertical Asymptote of the Graph of the Rational Function 2.6.16<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/fkhRMWKHU7\">Limit 2-6-25<\/a>&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/screencast.com\/t\/XuuK1IRnH\">Solve the Polynomial Inequality and Graph the Solution Set on a Real Number Line 2.7.27<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/screencast.com\/t\/NWBdgBsbtucb\">Solve the Polynomial Inequality and Graph the Solution Set on a Real Number Line 2.7.41<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/g5VtcpGmI\">Video on Solution of Inequality 2.7.53<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/screencast.com\/t\/EXiroQ1lzU\">Solve the Rational Inequality and Graph the Solution Set on a Real Number Line 2.7.53<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/URi7JdqwVZG\">Solve the Rational Inequality and Graph the Solution Set on a Real Number Line 2-7-57<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/mVShePhI2\">Solve the Rational Inequality and Graph the Solution Set on a Real Number Line 2-7-59<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/nzcKvwEK\">Inequality of Rational Function 2.7.67<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/Rnbjs58o\">Inequality of Rational Function 2-7-67<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/0hJoeUOwXhZ\">Use the Graph of the Polynomial Function to Solve the Inequality 2-7-71<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/w3PDMrcwt\">Find the Stopping Distance on the Dry Pavement 2-7-77<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"http:\/\/www.screencast.com\/t\/T7ERc6FlM\">Inverse Variation 2-8-35<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Section 1 Complex NumbersWorksheet &#8211; Complex Numbers Section 2 Quadratic GraphsWorksheet &#8211; Quadratic Graphs Section 3 End Behavior-Zeros and Multiplicities- Intermediate Value TheoremWorksheet &#8211; End Behavior-Zeros and Multiplicities- Intermediate Value Theorem Section 4 Dividing Polynomials- Factor and Remainder TheoremsWorksheet &#8211; Dividing Polynomials- Factor and Remainder Theorems Section 5 Zeros of Polynomials &#8211;&nbsp;Decartes&#8217;s Rule of SignWorksheet&hellip; <a class=\"more-link\" href=\"https:\/\/staff.kellogg.edu\/coxaanna\/math-140-pre-calculus-chapter-2\/\">Continue reading <span class=\"screen-reader-text\">Math 140 Pre-calculus Chapter 2<\/span><\/a><\/p>\n","protected":false},"author":48,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ngg_post_thumbnail":0,"footnotes":""},"class_list":["post-462","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/462","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/users\/48"}],"replies":[{"embeddable":true,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/comments?post=462"}],"version-history":[{"count":2,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/462\/revisions"}],"predecessor-version":[{"id":497,"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/pages\/462\/revisions\/497"}],"wp:attachment":[{"href":"https:\/\/staff.kellogg.edu\/coxaanna\/wp-json\/wp\/v2\/media?parent=462"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}