If we divide the polynomial x^4 + 4x^3 + 2x^2 + x + 4 by x^2 + 3x, what will be the remainder?

x^2 + 3x

4x + 4

x^2 + x–2

4

0

Would 4x+4 be correct?

Question

If we divide the polynomial x^4 + 4x^3 + 2x^2 + x + 4 by x^2 + 3x, what will be the remainder?

x^2 + 3x

4x + 4

x^2 + x–2

4

0

Would 4x+4 be correct?

michele_laino · Answer

what is the quotient?

anonymous · Answer

I tried it again  and I got x^2+3x. Is this right?

aum · Answer

You can quickly rule out the first choice and the third choice because the remainder has to be at least one degree less than the expression that divides.

aum · Answer

Here the divisor is x^2 + 3x.  The degree is 2.
So the degree of the remainder has to be LESS THAN 2.

aum · Answer

In your original posting you have the correct answer. But since you did not show the work I am explaining how to do this quickly without actually doing the long division.

anonymous · Answer

So the second option would be correct?

aum · Answer

Yes.

anonymous · Answer

Okay thank you.

aum · Answer

yw.