f(x)=x³-1 plus f(x)=x³-1
x³-1 + x³-1 = 2x³-2
Solution: f(x)=2x³-2
x³-1 + x³-1 = 2x³-2
Solution: f(x)=2x³-2
f(x)=x²-2x+1 minus f(x)=x³-1
0x³+x²-2x+1
- (x³+0x²+0x-1)
-x³ +x²-2x+2
Solution: f(x)= -x³ +x²-2x+2
0x³+x²-2x+1
- (x³+0x²+0x-1)
-x³ +x²-2x+2
Solution: f(x)= -x³ +x²-2x+2
f(x)=x-1 times f(x)=x²-1
(x-1)(x²-1)
x³-x-x²+1
Solution: x³-x²-x+1
(x-1)(x²-1)
x³-x-x²+1
Solution: x³-x²-x+1
f(x)=x³+8 divided by f(x)=x²-3x-10
x + 3 + (19x+38) / (x²-3x-10)
x²-3x-10 / x³+0x²+0x +8
- (x³+3x²+10x)
3x²+10x+8
- (3x²+ 9x+ 30)
19x+38
Solution: x + 3 (19x+38)
(x²-3x-10)
(19x+38)
(x²-3x-10) is our remainder
x + 3 + (19x+38) / (x²-3x-10)
x²-3x-10 / x³+0x²+0x +8
- (x³+3x²+10x)
3x²+10x+8
- (3x²+ 9x+ 30)
19x+38
Solution: x + 3 (19x+38)
(x²-3x-10)
(19x+38)
(x²-3x-10) is our remainder