How do you divide #(x^4 - 3x^2+4x - 5)/(x+4)#?

1 Answer
May 10, 2017

Synthetic division. Answer: #x^3-4x^2+13x-48+187/(x+4)#

Explanation:

We can either use long division or synthetic division, but since we are dividing by a linear equation, synthetic division would be easier.

For synthetic division, we divide the coefficients of the dividend by the value of #x# that would make the linear equation in the denominator be #0#. You can click on that hyperlink to read more about synthetic division.

Formatted in Excel

Therefore, our answer is #x^3-4x^2+13x-48+187/(x+4)#