SOLUTION: 3x^4 -2x^3 + 5x^2 + x + 1; x^2+2x Please explain step by step I would really appreciate any help

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Question 172908: 3x^4 -2x^3 + 5x^2 + x + 1; x^2+2x
Please explain step by step
I would really appreciate any help
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
I assume that you want to do long division right?

Start with the given expression

Rewrite the expression like this:

Now the question is: How many times does go into ?

It goes in times. So place over the term .

Now multiply by to get

Reverse the signs of to get (place this underneath the dividend)

Now Add to get:

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Now the question is now: How many times does go into ?

It goes in times. Place this term over in the dividend.

Now multiply -8x by to get

Reverse the signs of to get (place this underneath the last polynomial)

Now add to get:

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Now how many times does go into ?

It goes in times. Place this over the term in the dividend.

Now multiply 21 by to get

Reverse the signs of to get

Now add to get:

Since does NOT go into . This means that the long division process stops.

So the quotient is and the remainder is

This means that