Find the remainder when 2x3-3x2+ 4x +1 is divided by (x -1/2)

Question and answers are in the attached picture. you so much in advance.

Given right triangle xyz, which correctly describes the locations of the sides in relation to

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).