## MacPfister 2 years ago If 2 + sqrt(3) is a polynomial root, name another root of the polynomial and explain how you know it must also be a root. (Explain in 1 or 2 sentences)

• This Question is Open
1. myininaya

I guess they are defining this polynomial to have real coefficients even though they didn't say that. So when you solve $ax^2+bx+c=0$ You get $x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$. See of you can use that here. :)

2. myininaya

I'm also assuming that this polynomial has a quadratic factor. Such a weird question. Seems incomplete.

3. MacPfister

I need it in sentences.. :/ sorry

4. MacPfister

That doesn't answer the question either though, cause it's asking what would be another root if one of the polynomial roots is 2+ sqrt(3)

5. myininaya

Yes it does.

6. myininaya

That is 2 general solutions to a general quadratic above.

7. myininaya