{"id":6,"date":"2014-10-13T01:29:05","date_gmt":"2014-10-13T01:29:05","guid":{"rendered":"https:\/\/blue-mathbelt.marjoriesayer.com\/?p=6"},"modified":"2014-10-13T02:51:27","modified_gmt":"2014-10-13T02:51:27","slug":"week-1-polynomials-day-1","status":"publish","type":"post","link":"https:\/\/blue-mathbelt.marjoriesayer.com\/?p=6","title":{"rendered":"Week 1: Polynomials &#8211; Day 1"},"content":{"rendered":"<p>1. If P(x) is a polynomial of degree 7, and Q(x) is a polynomial of degree 2, what kind of function is f(x) = P(x)*Q(x)?<\/p>\n<p>2. Let P(x) be a polynomial of degree 7. What is the highest number of real roots (zeroes) that P(x) could have?<\/p>\n<p>3. Let P(x) be a polynomial function of degree 7. What is the lowest number of real roots (zeroes) that P(x) could have?<\/p>\n<p>4. Let Q(x) be a polynomial function of degree 4. What is the lowest number of real roots (zeroes) that Q(x) could have?<\/p>\n<p>5. Let f(x) = P(x) = x*x*x*x*(x &#8211; 1)*(x &#8211; 2)*(x &#8211; 3). How many distinct real roots does f(x) have?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. If P(x) is a polynomial of degree 7, and Q(x) is a polynomial of degree 2, what kind of function is f(x) = P(x)*Q(x)? 2. Let P(x) be a polynomial of degree 7. What is the highest number of real roots (zeroes) that P(x) could have? 3. Let P(x) be a polynomial function of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[4,5,6],"class_list":["post-6","post","type-post","status-publish","format-standard","hentry","category-polynomials","tag-degree","tag-polynomial","tag-root"],"_links":{"self":[{"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/6","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6"}],"version-history":[{"count":2,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/6\/revisions"}],"predecessor-version":[{"id":13,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=\/wp\/v2\/posts\/6\/revisions\/13"}],"wp:attachment":[{"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blue-mathbelt.marjoriesayer.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}