can someone help me with these?

What is the f of x over the g of x when f(x) = 6x3 - 19x2 + 16x - 4 and g(x) = x - 2?

and

What is the quotient when 2x3 + x + 3 is divided by x + 1?

thank you!!!

Question

can someone help me with these? 

What is the f of x over the g of x when f(x) = 6x3 - 19x2 + 16x - 4 and g(x) = x - 2? 


and 


What is the quotient when 2x3 + x + 3 is divided by x + 1? 


thank you!!!

imstuck · Answer

The second one can easily be done using long division or the much shorter synthetic division.  ARe you familiar with either of these?

anonymous · Answer

I am sort of familiar with both but not very well

imstuck · Answer

We can use synthetic division here because there is no coefficient with the x in x+1.  So lets' do that.  First you have to realize that x+1=0 and x = -1.  So -1 is the number you will be dividing into the polynomial.  Like this:

imstuck · Answer

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