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url url url url
  2. Weltenzyklopädie
  3. درجه چندجمله‌ای - ویکی‌پدیا، دانشنامهٔ آزاد
درجه چندجمله‌ای - ویکی‌پدیا، دانشنامهٔ آزاد
از ویکی‌پدیا، دانشنامهٔ آزاد

درجه یک چندجمله‌ای برابر با بزرگترین درجه جملات یک چندجمله‌ای است؛ به شرط آنکه ضریب آن جمله صفر نباشد.

به طور مثال سه جمله دارد (این چندجمله‌ای به شکل‌های روبه‌رو نیز می‌تواند نوشته شود ). اولین جمله درجه پنج را دارد (مجموع توان‌های x و y) جمله دوم درجه ۱ دارد و جمله سوم درجه صفر. بنابرین درجه این چندجمله‌ای، ۵ است که برابر با بزرگترین درجه میان جملات است. همچنین درجه این چندجمله‌ای نسبت به مجهول x برابر ۲ و نسبت به y برابر با ۳ است که بزرگترین توان، میان جملات می‌باشد.

یک چندجمله‌ای درجه صفر تابع ثابت، درجه یک تابع خطی، و یک چند جمله ای درجه دو تابع سهمی، نامیده می‌شود.

  • درجه یک معادله ریشه دوم، ، برابر با ۱/۲ است.
  • درجه یک معادله لگاریتم، ، برابر با صفر است.
  • درجه یک تابع نمایی، ، برابر با ∞ است.

منابع

آیکون خرد

این یک مقالهٔ خرد ریاضیات است. می‌توانید با گسترش آن به ویکی‌پدیا کمک کنید.

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