Algebraic Long Division

Question 1

Remainder Example

Answer 1

7/3 = 2 remainder 1
7/3 = 2 + 1/3
F(x)/divisor = quotient(x) + remainder/divisor

Question 2

If x²+5x-9/x+1 = Ax + B + C/x+2, determine the values of A, B and C

Answer 2

x+3
_________
(x+2) |x²+5x-9
- x²+2x
—————
3x-9
- 3x+6
————-
-15

x+3+ -15/x+2