I have a solution to high school Q8.
We can factor the polynomial 5x^3+6x^2+5x+4 as(x+1)(5x^2+x+4).
5x^2+x+4 >x+1 for all x. so let x+1=p^a and 5x^2+x+4=p^b where b>a. Divided, we obtain (5x^2+x+4)/(x+1)=p^b-a, which is an integer. This can be written as 5x-4+8/(x+1). For this to be an integer...
Hi. I have just graduated high school in Australia with an OP 1 (equivalent to a SAT score of 1540 or 2280) and I need help deciding what to study. What is the degree with the most mathematics in it that will make you the most money?