{"id":734365,"date":"2024-09-20T18:19:34","date_gmt":"2024-09-20T12:49:34","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=734365"},"modified":"2024-09-20T18:19:34","modified_gmt":"2024-09-20T12:49:34","slug":"quiz-1-class-9-maths-chapter-2-polynomials","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/free-online-quizzes\/class-9-maths-chapter-2-polynomial-quiz-1\/","title":{"rendered":"Quiz 1 \u2013 Class 9 Maths Chapter 2 Polynomials"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/free-online-quizzes\/class-9-maths-chapter-2-polynomial-quiz-1\/#Quiz_1_-_Class_9_Maths_Chapter_2_Polynomials\" title=\"Quiz 1 &#8211; Class 9 Maths Chapter 2 Polynomials\">Quiz 1 &#8211; Class 9 Maths Chapter 2 Polynomials<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/free-online-quizzes\/class-9-maths-chapter-2-polynomial-quiz-1\/#Class_9_Maths_Chapter_2_Polynomials_Quiz_2\" title=\"Class 9 Maths Chapter 2 Polynomials Quiz 2\">Class 9 Maths Chapter 2 Polynomials Quiz 2<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<ul>\n<li><strong>Time Limit:<\/strong> You have 15 minutes to complete the quiz.<\/li>\n<li><strong>Multiple Choice:<\/strong> Each question has several options to choose from.<\/li>\n<li><strong>One Correct Answer:<\/strong> Only one option is correct per question.<\/li>\n<li><strong>No Negative Marking:<\/strong> No points will be deducted for wrong answers.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Quiz_1_-_Class_9_Maths_Chapter_2_Polynomials\"><\/span>Quiz 1 &#8211; Class 9 Maths Chapter 2 Polynomials<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Welcome to Quiz 1 on Chapter 2 \u2013 Polynomials from <a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-class-9-maths-syllabus\/\"><strong>CBSE Class 9 Maths Syllabus<\/strong><\/a> . This chapter focuses on understanding the definition of polynomials, types, and their degree. The quiz will help you apply these concepts and test your understanding of polynomial expressions. Sharpen your skills and dive into the world of polynomials!<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Class_9_Maths_Chapter_2_Polynomials_Quiz_2\"><\/span><span id=\"Class_9_Maths_Chapter_1_Real_Number_Of_Life_Quiz_3\" class=\"ez-toc-section\"><\/span><span id=\"Class_9_Maths_Chapter_1_Real_Number_Of_Life_Quiz_1\" class=\"ez-toc-section\"><\/span>Class 9 Maths Chapter 2 Polynomials Quiz 2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Ques: State whether the statement is true or false. Given polynomials are and , and g(x) is a factor of .<\/strong><\/p>\n<p>a). True<\/p>\n<p>b). False<\/p>\n<details>\n<summary><strong>Correct option:<\/strong><\/summary>\n<p>A<\/p>\n<\/details>\n<p><strong>Explanation:<\/strong><\/p>\n<p>Given that the two polynomials are and . We need to find whether is a factor of or not.<\/p>\n<p>When a polynomial is divided by a polynomial and leaves the remainder , then it is the factor of that polynomial.<\/p>\n<p>We will use the long division method for performing the division.<\/p>\n<p>We have,<\/p>\n<p>Remainder is .<\/p>\n<p>Since the remainder is not zero therefore, is not a factor of .<\/p>\n<p>Hence, the given statement that is a factor of is incorrect.<\/p>\n<p>Therefore, option 2 is correct.<\/p>\n<p><strong>Ques: Polynomial can be made up of many terms. <\/strong><\/p>\n<p>a). True<\/p>\n<p>b). False<\/p>\n<details>\n<summary><strong>Correct option:<\/strong><\/summary>\n<p>A<\/p>\n<\/details>\n<p><strong>Explanation:<\/strong><\/p>\n<p>Polynomial is made up of two terms, namely Poly (meaning \u201cmany\u201d) and Nominal (meaning \u201cterms\u201d).<\/p>\n<p><strong>Ques: 2p<sup>2<\/sup> \u22123p+1 is a polynomial ? <\/strong><\/p>\n<p>a). True<\/p>\n<p>b). False<\/p>\n<details>\n<summary><strong>Correct option:<\/strong><\/summary>\n<p>A<\/p>\n<\/details>\n<p><strong>Explanation:<\/strong><\/p>\n<p>It is polynomial of degree 2<\/p>\n<p><strong>Ques: State True\/False:<\/strong><\/p>\n<p>12 &#8211; 15x\/22x is an example of a polynomial.<\/p>\n<p>a). True<\/p>\n<p>b). False<\/p>\n<details>\n<summary><strong>Correct option:<\/strong><\/summary>\n<p>B<\/p>\n<\/details>\n<p><strong>Explanation:<\/strong><\/p>\n<p>Given Expression: 12 &#8211; 15x\/22x<\/p>\n<p>Due to the presence of a variable in the denominator, the total degree of the given expression becomes negative. So, it will not represent a polynomial.<\/p>\n<div class=\"card\" style=\"text-align: center;\"><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/one-stop-solutions-for-school-prep?utm_source=surge&amp;utm_medium=interlinking\"><br \/>\n<img loading=\"lazy\" class=\" lazyloaded\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/09\/one-stop-solution-for-school-exam.jpg\" alt=\"one-stop-solutions school exam\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/09\/one-stop-solution-for-school-exam.jpg\" \/><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/one-stop-solutions-for-school-prep?utm_source=surge&amp;utm_medium=interlinking\"><button><strong>One Stop Solutions for School Exam Preparation<\/strong><\/button><\/a><\/p>\n<div style=\"text-align: center;\">Boost your school preparation with our comprehensive guide for CBSE, ICSE, and State Board exams. Get all the resources you need in one place and excel in your academic journey. Discover the ultimate one-stop solution at Infinity Learn today!<\/div>\n<\/div>\n<p><strong>Ques: A polynomial is an expression composed of variables, constants and exponents with mathematical operations.<\/strong><\/p>\n<p>12 &#8211; 15x\/22x is an example of a polynomial.<\/p>\n<p>a). True<\/p>\n<p>b). False<\/p>\n<details>\n<summary><strong>Correct option:<\/strong><\/summary>\n<p>A<\/p>\n<\/details>\n<p><strong>Explanation:<\/strong><\/p>\n<p>A polynomial is an expression composed of variables, constants and exponents with mathematical operations.<\/p>\n<p>Example: 3xy + 4y<\/p>\n<p><strong>Ques: The value of k for which (\u20134) is a zero of the polynomial x<sup>2<\/sup> \u2013 x \u2013 (2k +2) is:<\/strong><\/p>\n<p>a). 6<\/p>\n<p>b). 9<\/p>\n<p>c). 11<\/p>\n<p>d). 3<\/p>\n<details>\n<summary><strong>Correct option:<\/strong><\/summary>\n<p>B<\/p>\n<\/details>\n<p><strong>Explanation:<\/strong><\/p>\n<p>In the given polynomial f(x) = x\u00b2 \u2212 x \u2212 (2k + 2), substitute x = \u22124 as shown below:<\/p>\n<p>f(\u22124) = (\u22124)\u00b2 \u2212 (\u22124) \u2212 (2k + 2)<\/p>\n<p>= 16 + 4 \u2212 2k \u2212 2<\/p>\n<p>= 18 \u2212 2k<\/p>\n<p>Therefore, f(\u22124) = 18 \u2212 2k.<\/p>\n<p>Since it is given that x = \u22124 is a zero of the polynomial, f(x) = x\u00b2 \u2212 x \u2212 (2k + 2).<\/p>\n<p>Therefore, f(\u22124) = 0 that is:<\/p>\n<p>18 \u2212 2k = 0<\/p>\n<p>\u21d2 2k = 18<\/p>\n<p>\u21d2 k = 9<\/p>\n<p>Hence, k = 9.<\/p>\n<p><strong>Ques: The zeroes of the quadratic polynomial x<sup>2<\/sup> + kx + k, k \u2260 0 __________________.<\/strong><\/p>\n<p>a). cannot be both positive<\/p>\n<p>b). cannot be both negative<\/p>\n<p>c). are always unequal<\/p>\n<p>d). are always equal<\/p>\n<details>\n<summary><strong>Correct option:<\/strong><\/summary>\n<p>A<\/p>\n<\/details>\n<p><strong>Explanation:<\/strong><\/p>\n<p>Product of zeroes = k<\/p>\n<p>The sign is positive which means both the zeroes have the same sign.<\/p>\n<p>Sum of zeroes = &#8211; k<\/p>\n<p>The sign is negative and both have the same sign. Hence, both the zeroes are negative.<\/p>\n<div class=\"card\" style=\"text-align: center;\"><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/online-mock-tests?utm_source=surge&amp;utm_medium=interlinking\"><br \/>\n<img loading=\"lazy\" class=\" lazyloaded\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/09\/cvc.png\" alt=\"online mock test\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/09\/cvc.png\" \/><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/online-mock-tests?utm_source=surge&amp;utm_medium=interlinking\"><button><strong>Online Mock Test<\/strong><\/button><\/a><\/p>\n<div style=\"text-align: center;\">Boost Your Preparation With Our Free Online Mock Tests For IIT-JEE, NEET And CBSE Exams<\/div>\n<\/div>\n<p><strong>Ques: A quadratic polynomial can have at most ________ zeroes.<\/strong><\/p>\n<p>a). 4<\/p>\n<p>b). 2<\/p>\n<p>c). 1<\/p>\n<p>d). 3<\/p>\n<details>\n<summary><strong>Correct option:<\/strong><\/summary>\n<p>B<\/p>\n<\/details>\n<p><strong>Explanation:<\/strong><\/p>\n<p>Let, f(x) = ax<sup>2<\/sup> + bx + c<\/p>\n<p>The maximum number of zeros that a polynomial can have is equal to the highest degree of that polynomial. So a quadratic polynomial can at most have two zeroes.<\/p>\n<p><strong>Ques: <\/strong>If 2 and 3 are two zeroes of x<sup>3 <\/sup>\u2212 5x<sup>2 <\/sup>+ 6x, then find the third zero of the polynomial.<\/p>\n<p>a). 4<\/p>\n<p>b). 2<\/p>\n<p>c). 1<\/p>\n<p>d). 0<\/p>\n<details>\n<summary><strong>Correct option:<\/strong><\/summary>\n<p>D<\/p>\n<\/details>\n<p><strong>Explanation:<\/strong><\/p>\n<p>Given polynomial: x<sup>3 <\/sup>\u2212 5x<sup>2 <\/sup>+ 6x<\/p>\n<p>Let the third root be p.<\/p>\n<p>Since, the sum of roots = \u2212 coefficient of x3 \/ coefficient of x2<\/p>\n<p>\u21d2 2 + 3 + p = -5\/1<\/p>\n<p>\u21d2 5 + p = 5<\/p>\n<p>\u21d2 p = 0<\/p>\n<p>So, the third zero is 0.<\/p>\n<p><strong>Ques: Is the following statement true or false?<\/strong><\/p>\n<p><strong>The expression \u2018y\u2019 can be categorized as a polynomial.<\/strong><\/p>\n<p>a). True<\/p>\n<p>b). False<\/p>\n<details>\n<summary><strong>Correct option:<\/strong><\/summary>\n<p>A<\/p>\n<\/details>\n<p><strong>Explanation:<\/strong><\/p>\n<p>We have given an expression \u2018y\u2019.<\/p>\n<p>We know that a polynomial is a term or a group of terms having a whole number power.<\/p>\n<p>Here, since y has the power 1, it is a polynomial.<\/p>\n<p>Therefore, the given statement is true.<\/p>\n<p>Hence, option (1) is correct.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Time Limit: You have 15 minutes to complete the quiz. Multiple Choice: Each question has several options to choose from. [&hellip;]<\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Class 9 Maths Chapter 2 Polynomials","_yoast_wpseo_title":"Quiz 1 \u2013 Class 9 Maths Chapter 2 Polynomials with Answers | Infinity Learn","_yoast_wpseo_metadesc":"Take Quiz 1 for Class 9 Maths Chapter 2 Polynomials with answers at Infinity Learn. Test your understanding of polynomials, their types, and degree in this interactive quiz. 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