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:
(6x + 3) / (-3x)
To simplify this fraction, we can divide both the numerator and denominator by the greatest common factor, which is 3:
(6x + 3) / (-3x) = (3(2x + 1)) / (-3x)
Now, we can divide 3 by -3, and cancel out the common factor of (2x + 1):
(3(2x + 1)) / (-3x) = -2x - 1
Therefore, the simplified expression is -2x - 1.