Divide the polynomial by the monomial denominator by writing the fraction as the sum (or difference) of fractions. Simplify your answer, if possible. 6x+3/−3x
To divide the polynomial 6x + 3 by the monomial -3x, we can write it as a fraction and simplify if possible.
The division can be expressed as:
(6x + 3) / (-3x)
To simplify the expression, we can divide both the numerator and denominator by the greatest common factor. In this case, the greatest common factor is 3:
(6x / 3 + 3 / 3x) / (-3x / 3)
Simplifying further:
(2x + 1) / -x