Question

Which algebraic expression is a polynomial? 4x2 – 3x + StartFraction 2 Over x EndFraction –6x3 + x2 – StartRoot 5 EndRoot 8x2 + StartRoot x EndRoot –2x4 + StartRoot 3 Over 2 x EndRoot

Answer 1

Answer:

Step-by-step explanation:

"4x2 – 3x + StartFraction 2 Over x EndFraction" is definitely not a polynomial because one of the exponents of x is negative.

"–6x3 + x2 – StartRoot 5 EndRoot" is a polynomial because all of the exponents of x are integers 0 or greater.  

The presence of any root (fractional exponents included) of the variable x automatically disqualifies such expression:  it's not a polynomial.