Divide the polynomial by the monomial denominator by writing the fraction as the sum (or difference) of fractions. Simplify your answer, if possible.
−4x^2+8x+6/−2x
To divide the polynomial -4x^2 + 8x + 6 by the monomial -2x, we can rewrite the fraction as the sum (or difference) of fractions.
We can rewrite the fraction as follows:
(-4x^2 + 8x + 6) / (-2x)
= (-4x^2 / -2x) + (8x / -2x) + (6 / -2x)
Now we simplify each fraction:
-4x^2 / -2x = 2x
8x / -2x = -4
6 / -2x = -3/x
Putting them together, we have:
2x - 4 - 3/x
Therefore, the division of the polynomial by the monomial denominator can be simplified as 2x - 4 - 3/x.