Question

Find the quotient and the remainder of
3x^3 - 2x^2 + 4x-3 / x + 4

Answer 1

you can use long division or synthetic division to find the quotient and remainder

also you can find the remainder using the remainder theorem
as follows
plug in x = -4 ( as you are dividing by (x+4):

3(-4)^3 -2(-4)^2 +4(-4) - 3 = -192 + 32 - 16 - 3 = -179

Answer 2

i made a mistake using remainder theorem : its -192 - 32 - 16 - 3 = -243

Answer 3

and another mistake in long division - sorry guy - not my best day today!

Answer 4

have you done long division or synthetic division already?

Answer 5

http://www.purplemath.com/modules/synthdiv.html
- this explains it pretty well

although i always use long division with polynomials because i'm used to it

Answer 6

hope this is of help to you