A couple of hard questions about the Factor and Remainder Thoerem that I'm having a hard time with. 1. The problem statement, all variables and given/known data 18) f(x) = 2x3 + x2 – 5x + c, where c is a constant. Given that f(1) = 0, (a) find the value of c (b) factorise f(x) completely, (c) find the remainder when f(x) is divided by (2x – 3). 19) f(x) = x3 – 2x2 + ax + b, where a and b are constants. When f(x) is divided by (x – 2), the remainder is 1. When f(x) is divided by (x + 1), the remainder is 28. (a) Find the value of a and the value of b. (b) Show that (x – 3) is a factor of f(x). 2. Relevant equations None 3. The attempt at a solution These are the last two questions of the homework, and the only ones I am having some difficulty with. The other 17 questions I have finished and am happy with. I reckon I can do 18) a) though; f(1) = 2(1)^3 + 1² - 5(1) + c = 2 + 1 -5 + c c = 2 Right? Any help with the other questions is very welcome! Thanks for your time.