SOLUTION: Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer: (i) 3x2 - 4x + 15 (ii) y2 + 2√3 (iii) 3√x + √

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer: (i) 3x2 - 4x + 15 (ii) y2 + 2√3 (iii) 3√x + √      Log On


   



Question 1162724: Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:
(i) 3x2 - 4x + 15
(ii) y2 + 2√3
(iii) 3√x + √2x
(iv) x - 4/x
(v) x12 + y3 + t50

Found 2 solutions by ikleyn, Theo:
Answer by ikleyn(52852) About Me  (Show Source):
You can put this solution on YOUR website!
.

Everywhere you see two variables, is not a polynomial in one variable.

Everywhere you see variable under the square root, is not a polynomial of that variable.

Everywhere you see a variable in the denominator, is not a polynomial.


Also, as a useful remainder, 2x2 = 4.




Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
selections 1,2,3,4 are in one variable.
selection 5 is in 3 variables
the variable for 1 is x
the variable for 2 is y
the variable for 3 is x
the variable for 4 is x
the variables for 5 are x, y, and t.