Question

Polynomial Long Division

Answer 1

How would one divide two polynomials of the same order like:

\[\frac{ x^3 + 4x }{ x^3 + 5x^2 + 8x + 4 }\]

Answer 2

you will evidently get 1 and a remainder

Answer 3

easy trick is to make the one up top by adding and subtracting what you need to give you the one you know you will get

Answer 4

\[\frac{ x^3 + 4x }{ x^3 + 5x^2 + 8x + 4 }\]\[=\frac{x^3+5x^2+8x+4-5x^2-4x-4}{x^3+5x^2+8x+4}\]

Answer 5

giving you
\[1-\frac{5x^2+4x+4}{x^3+5x^2+8x+4}\]

Answer 6

thanks :)

i get it

Answer 7

yw
saves the annoying long division