Determine whether the polynomial P(x) has a zero remainder when divided by (x+2). Determine Q(x).
P(x)=x^5+5x^4+2x^3-14x^2-12x+4??

Question

Determine whether the polynomial P(x) has a zero remainder when divided by (x+2). Determine Q(x). 
P(x)=x^5+5x^4+2x^3-14x^2-12x+4??

satan · Answer

You could use synthetic division, it's easier in my opinion.

imstuck · Answer

Do you know synthetic division?  It is definitely the way to go with this, as @Satan  mentioned.

anonymous · Answer

I don't what is it?

satan · Answer

It's like upside down long division, without the variables and such.

satan · Answer

But it only works when what you are dividing with is linear.

imstuck · Answer

Ok, it's so easy!  first the (x+2) can be written as the factor (x+2)=0, so x = -2.  Synthetic division for this problem is set up using the coefficients of the terms in your polynomial, going down in descending order of powers.

anonymous · Answer

ok thanks I'll try it out