divide the polynomialby the monomial denominator by writing the fraction as the sum (or diffrence) of fractions. simplify your answer if possible (x^5-2x^4+7/x
To divide the polynomial (x^5 - 2x^4 + 7) by the monomial denominator x, you can write it as the sum of fractions:
(x^5 - 2x^4 + 7) / x = (x^5) / x - (2x^4) / x + (7) / x
Now simplify each fraction:
(x^5) / x = x^(5-1) = x^4
(2x^4) / x = 2x^(4-1) = 2x^3
(7) / x = 7 * x^(-1) = 7/x
Putting it all together:
(x^5 - 2x^4 + 7) / x = x^4 - 2x^3 + 7/x
So the simplified answer is x^4 - 2x^3 + 7/x.