What is the quotient in simplest form? x2−9x+2÷x−3x2−2x−8

state any restrictions on the variable

1 answer

To find the quotient in simplest form, we perform polynomial long division:

__________________________
x - 3 | x^2 - 9x + 2
- (x^2 - 3x)
------------------------
-6x + 2
- (-6x + 18)
--------------------------
16

Therefore, the quotient in simplest form is x - 3 with a remainder of 16.

The restrictions on the variable (x) are that x cannot equal 3, since division by 0 is undefined.