Question

what must be added to x⁴+2x³-2x²+x -1 so it is divisible by x²+2x -3 ?​

Answer 1

Step-by-step explanation:

The number that should be added to get divisible by x²+2x-3 is the remainder we get.

x²+1

—————————

x²+2x-3) x^4+2x³-2x²+x-1

x^4+2x³-3x²

(-) (-) (+)

——————————

x²+x-1

x²+2x-3

(-) (-) (+)

——-—————--———

-x+2