Math(Please check)
posted by Hannah
State whether the expression is a polynomial. If it is, state the degree.
a) 3x^2  7x + 2 = yes;3
b) 3x  2/x = No
c) sqrt2x^2  3pi = yes;2
sqrt2x + 5x = yes;1
Am I correct?

MathMate
The degree is the sum of the highest powers of the variables.
In (a), which indeed is a polynomial, the highest power is in the first term, 3x², equal to 2.
(b) 2/x is not a nonnegative integer power of the variable, so it is not a polynomial.
(c) The degree is 2 if the squareroot radical applies only to the coefficient, i.e. √(2)x².
(d) Again, if the squareroot radical applies only to the coefficient 2, i.e. √(2)x+5x, then it is a polynomial.
If it is √(2x)+5x, then it is not a polynomial, because polynomials do not contain fractional power terms.
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