Divide the polynomial by the monomial denominator by writing the fraction as the sum (or difference) of fractions. Simplify your answer, if possible 3x−6/−3x
To divide the polynomial 3x-6 by the monomial -3x, we can write it as a fraction.
The fraction is (3x-6)/(-3x).
To simplify this fraction, we can factor out -3 from the numerator:
(3x-6)/(-3x) = -3(x-2)/(-3x)
Now, we can cancel out the -3 terms:
-3(x-2)/(-3x) = (x-2)/x
So, the simplified answer is (x-2)/x.