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 the sum of fractions:
(3x-6)/(-3x) = (3x)/(-3x) - (6)/(-3x)
Now, let's simplify each fraction separately:
(3x)/(-3x) simplifies to -1
(6)/(-3x) simplifies to -2/x
Therefore, the fraction can be simplified to:
(3x-6)/(-3x) = -1 - 2/x
So the simplified fraction is -1 - 2/x.