Algebra 2. Please help! Fan and medal will be given :) thank you!

1. If 2 + the square root of 3 is a polynomial root, then name another root of the polynomial, and explain how you know it must also be a root.

2. How can you quickly determine the number of roots a polynomial will have by looking at the equation?

Question

Algebra 2. Please help! Fan and medal will be given :) thank you!

1. If 2 + the square root of 3 is a polynomial root, then name another root of the polynomial, and explain how you know it must also be a root.

2. How can you quickly determine the number of roots a polynomial will have by looking at the equation?

anonymous · Answer

2-sqrt(3) must also be a root.

boldjon · Answer

1. 2 + sqrt (3) has two forms based on the sqrt. 

the roots are: (1) 2 + sqrt(3) and (2) 2 - sqrt(3).

anonymous · Answer

2-sqrt(3) also has to be a root because they are conjugates.

anonymous · Answer

The number of roots a polynomial has is equal to the polynomial's degree (just realize that not all of the roots are real).

ray1998 · Answer

Thank you guys so much!!!!!! This has been very helpful:)

anonymous · Answer

Do you need to know how many roots are real or just how many roots in general?

ray1998 · Answer

Oh, it's just asking how quickly you can find out. Like, if there's a certain way of knowing. @TI-84