{"paper":{"id":"site-6565","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","variant":null,"exam_pdf":null,"key_pdf":null,"question_count":3,"source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},"questions":[{"id":"site-6565/zad/6709","paper_id":"site-6565","number":"6709","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Dany jest wielomian W(x)=3x³ + m² + 3x-2 gdzie m jest pewną liczbą rzeczywistą. Wiadomo, że ten wielomian można zapisać w postaci iloczynowej: W(x) = (x+2)Q(x) gdzie Q(x) jest pewnym trójmianem kwadratowym. Wyznacz wielomian Q(x) oraz oblicz wszystkie pierwiastki rzeczywiste wielomianu W(x).","answer":null,"answer_text":null,"solution":null,"image":"img/site/6565/zad-6709.svg","solution_image":"img/site/6565/rozw-6709.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-6565/zad/6870","paper_id":"site-6565","number":"6870","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Rozwiąż równanie: -2x^3+x^2+18x-9 = 0.","answer":null,"answer_text":null,"solution":null,"image":"img/site/6565/zad-6870.svg","solution_image":"img/site/6565/rozw-6870.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-6565/zad/6871","paper_id":"site-6565","number":"6871","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Rozwiąż równanie: -x^3+13x-12 = 0.","answer":null,"answer_text":null,"solution":null,"image":"img/site/6565/zad-6871.svg","solution_image":"img/site/6565/rozw-6871.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"}]}