Question

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

Answer 1

To divide a polynomial by a monomial, you can divide each term of the polynomial by the monomial separately.

Let's divide the polynomial -4x^2 + 8x + 6 by the monomial -2x.

-4x^2 / -2x = 2x
8x / -2x = -4
6 / -2x = -3/x

Therefore, the polynomial (-4x^2 + 8x + 6) / (-2x) can be written as the sum of fractions: 2x - 4 - 3/x.

Simplifying the answer is not possible in this case as the fractions cannot be further reduced.