Divide the first polynomial by the second polynomial using synthetic division. 1. 2x² – x³ + 7x – 14; 2x – 2
2. 10 – 9x⁴ + 4x² – 4x; 3x – 5
3. x⁵ – 3x⁴ – 5x³ + 27x² – 36x; x – 3
4. x³ + 4x² + 4x + 2; x² + 2x + 1
5. 2x⁵ – 2x⁴ – 5x³ + 4x² – x + 3; 2x² – 2x + 1
6. x¹⁰ – x⁵ + 1; 5x² – 10x + 5

The total cost of anja’s trip to the dentist was $628.35. she paid a flat fee of $89.95 which included the checkup and cleaning and then had 4 cavities filled, each of which cost the same amount. which shows the correct equation and value of x, the cost of each cavity filling?

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

If the segment op is dilated by a scale factor r=2, what is the length of segment op? a)10cm b)16cm c)6cm d)4cm