How do you find the remainder (without division) when (a) x^2 - 2x + 4 is divided by x - 1 (b) 2x^3 - 3x^2 + 7x - 8 is divided by x - 1?

Answer 1

By the remainder Theorem evaluate the function at

a) x=1, f(1)=3, so the remailder is 3,

b) f(1)= 4, remainder is 4.