{"id":614,"date":"2025-01-25T13:21:56","date_gmt":"2025-01-25T07:51:56","guid":{"rendered":"https:\/\/leverageedu.com\/questions-answers\/?p=614"},"modified":"2025-01-25T13:21:59","modified_gmt":"2025-01-25T07:51:59","slug":"degree-of-the-zero-polynomial-is","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/questions-answers\/degree-of-the-zero-polynomial-is\/","title":{"rendered":"Degree of the Zero Polynomial is"},"content":{"rendered":"\n<p><strong>Answer: <\/strong>The correct answer for the degree of the Zero Polynomial is option <strong>C. Not Defined<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Complete Answer:<\/strong><\/p>\n\n\n\n<p>Option A.<strong> 1: <\/strong>The degree of a polynomial is determined by the highest power of xxx with a non-zero coefficient. For the zero polynomial, all coefficients are zero, meaning there is no term with a non-zero power of xxx. Thus, it does not have a degree of 1.<\/p>\n\n\n\n<p>Option B.<strong> 0: <\/strong>A polynomial with the degree 0 is a constant polynomial (like 555 or \u22123-3\u22123), which has no variable xxx. The zero polynomial is not a constant polynomial; it doesn&#8217;t represent any value, so its degree is not 0.<\/p>\n\n\n\n<p>Option C.<strong> Not defined: <\/strong>The zero polynomial is a polynomial in which all coefficients are zero (e.g., 0xn+0xn\u22121+\u22ef+00x^n + 0x^{n-1} + \\dots + 00xn+0xn\u22121+\u22ef+0). Since it has no non-zero terms, it does not have the highest power of xxx, and thus, its degree is considered not defined.<\/p>\n\n\n\n<p>Option D.<strong> Any natural number: <\/strong>The degree of a polynomial refers to the highest exponent of xxx. Since the zero polynomial has no non-zero terms, it doesn&#8217;t have any degree, and thus it cannot have a degree of any natural number.<\/p>\n\n\n\n<p><strong>Hence, the correct choice is C. Not defined.<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>What is a Polynomial?<\/strong><\/p>\n\n\n\n<p>A <strong>polynomial<\/strong> is a type of mathematical expression made up of <strong>terms<\/strong> that are connected by <strong>addition<\/strong> or <strong>subtraction<\/strong>. Each term in a polynomial consists of a <strong>number<\/strong> (called a coefficient) and a <strong>variable<\/strong> (usually xxx) raised to a power (called the exponent).<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><strong>Common Doubts:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-very-light-gray-to-cyan-bluish-gray-gradient-background has-background has-fixed-layout\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/questions-answers\/what-is-180-cm-in-feet-and-inches\/\"><strong>What is 180 CM in Feet and Inches?<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/questions-answers\/how-many-seconds-in-an-hour-are-there\/\"><strong>How Many Seconds in an Hour Are There?<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/questions-answers\/find-the-value-of-this-expression-sin-30cos-60-sin-60cos-30\/\"><strong>Find the Value of this Expression: sin 30cos 60 + sin 60cos 30<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/questions-answers\/difference-of-the-smallest-6-digit-number-and-the-greatest-4-digit-number-is\/\"><strong>Difference of the Smallest 6 Digit Number and the Greatest 4 Digit Number is__<\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"Answer: The correct answer for the degree of the Zero Polynomial is option C. Not Defined Complete Answer:&hellip;\n","protected":false},"author":82,"featured_media":621,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"editor_notices":[],"footnotes":""},"categories":[3],"tags":[],"class_list":{"0":"post-614","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-math"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Degree of the Zero Polynomial is<\/title>\n<meta name=\"description\" content=\"Degree of the Zero Polynomial is A.1, B. 0, C. Not defined, D. Any natural number. The correct option is C. 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