Answer:

i) 4x² - 3x + 7 ii) y² + √2 iii) 3√t + t√2 iv) y + (2/y)

v) x10 + y3 + t50

Solution:

i) 4x² - 3x + 7

The given polynomial has one variable 'x'.

Thus, 4x² - 3x + 7 is a polynomial in one variable.

ii) y² + √2

The given polynomial has one variable 'y'.

Thus, y² + √2 is a polynomial in one variable.

iii) 3√t + t√2

3t1/2 + t√2 is not a polynomial, since the power of the variable in the first term is 1/2 which is not a whole number.

iv) y + (2/y)

y + 2y-1 is not a polynomial since the power of the variable in the second term is -1 which is not a whole number.

v) x10 + y3 + t50

x10+ y3+ t50 is not a polynomial in one variable since there are 3 variables x, y, and t.