Solve each equation and check. show all work

If f(x)=2x^6+x^2+2 then what is the remainder when f(x)is divided by x+2

Jessica is organizing a guided tour of the rain forest. the average profit per person that the touring company makes is given by the rational expression 18x+35/x, where x is the number of people going on the tour. what does the numerator of this rational expression represents?

Determine if the sequence is arithmetic or geometric.  then identify the next term in the sequence.    0.2, 1, 5, 25, . . group of answer choices arithmetic; 75 geometric; 75 arithmetic; 125 geometric; 125