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?

1. 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 non-negative integer power of the variable, so it is not a polynomial.
(c) The degree is 2 if the square-root radical applies only to the coefficient, i.e. √(2)x².
(d) Again, if the square-root 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.

## Similar Questions

1. ### calculus

hi, how do u solve this problem using limit notation. I tried it but go stuck at the last part. find f'(x) for f(x)=Sqrt2x-1 using F(x+h)-f(a)/h i got to the end and i got 1/Sqrt2x-1 -sqrt2x-1. i don't know wht u do next?

7. ### Calculus help~!

Which is the standard form of the equation with p = 26, O= 3pi/4 ?
8. ### algebra

Determine whether the expression is a polynomial. If is is state how many terms and variables the polynomial contains. State the degree -7-1/4x
9. ### Math

Determine whether the expression is a polynomial, if it is state how many terms and variables the polynomial contains. state the degree -4x-2y-1 the -2 and -1 are above the Y
10. ### Math Algebra

Determine whether the expression is a polynomial, if it is state how many terms and variables the polynomial contains. then state the degree 7x^2+3x+3

More Similar Questions