SOLUTION: Determine whether each algebraic expression is a polynomial or not. 1. 𝑥^3−2𝑥^2+𝑥+1/3 2. (𝑥+1)/5 3. −𝑥^2+2𝑥+√3 4. 𝑥^2−1/𝑥^2 5. 𝑥^4−3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Determine whether each algebraic expression is a polynomial or not. 1. 𝑥^3−2𝑥^2+𝑥+1/3 2. (𝑥+1)/5 3. −𝑥^2+2𝑥+√3 4. 𝑥^2−1/𝑥^2 5. 𝑥^4−3      Log On


   

Question 1189675: Determine whether each algebraic expression is a polynomial or not.
1. 𝑥^3−2𝑥^2+𝑥+1/3
2. (𝑥+1)/5
3. −𝑥^2+2𝑥+√3
4. 𝑥^2−1/𝑥^2
5. 𝑥^4−3𝑥^2+2𝑥+1/4
6. 𝑥^10−𝑦^10
7. √2𝑥+ 4
8. 1/𝑥^2 +2/𝑥+3
9. 3/(2𝑎^3 )−8𝑎^2+3
10. 3/4 𝑦^2−1/8 𝑦^2+1/3
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Most of them are polynomials.

A polynomial cannot contain any denominator or roots that contain a
variable.  However, polynomials may contain denominators and roots as 
long as they do not contain any variables.

4, 8, and 9 are not polynomials because they contain denominators that 
contain variables.

The others are polynomials except that I can't tell about 7.  It depends on
whether you meant



It would have been good if you had written parentheses to group together
what goes inside the square root, like this: √(2)x+4, √(2x)+4, or √(2x+4) 

The first one's root does not contain x, so it's a polynomial.
The other two's's roots do, so they're not polynomials.

Edwin