Classify the following as constant , linear , quadratic , cubic and quartic polynomials .
(i) `x-x^(3)`
(ii) `y^(4)-y`
(iii) `y+y^(2)+4`
(iv) `sqrt(2)x-1`
(v) `5x^(3)`
(vi) 3
(vii) `t^(2)`
(viii) `2+x`
(ix) `5t-sqrt(7)`

Explanation

(i) `x-x^(3)` is a polynomial of degree 3. So , it is a cubic polynomial .
(ii) `y^(4)-y` is a polynomial of degree 4. So , it is a quartic polynomial .
(iii) `y+y^(2)+4` is a polynomial of degrgee 2. So , it is a quadratic polynomial.
(iv) `sqrt(2)x-1` is a polynomial of degree 1 . So , it is a linear polynomial .
`5x^(3)` is a polynomial of degree 1 . So , it is a cubic polynomial .
(vi) Clearly , 3 is a constant polynomial and its degree is 0.
(vii) `t^(2)` is a polynomial of degree 2. So , it is a quadratic polynomial.
(viii) `2+x` is a polynomial of degree 1 . So , it is a linear polynomial.
(ix) `5t-sqrt(7)` is a polynomial of degree 1 . So , it is a linear polynomial .