Classify the following as a constant, linear, quadratic and cubic polynomials:

(i) 2 – x2 + x3 (ii) 3x3


(iii) 5t – √7 (iv) 4 – 5y2


(v) 3 (vi) 2 + x


(vii) y3 – y (viii) 1 + x + x2


(ix) t2 (x) √2x – 1


The polynomial of the degree zero is constant, of degree one is linear , of degree two is quadratic and of degree three is cubic.


(i) 2 – x2 + x3


It is a polynomial of the degree 3 so it is a cubic polynomial.


(ii) 3x3


It is a polynomial of the degree 3 so it is a cubic polynomial.


(iii) 5t – √7


It is a polynomial of the degree one(1) so it is a linear polynomial.


(iv) 4 – 5y2


It is a polynomial of the degree 2 so it is a quadratic polynomial.


(v) 3


It is a polynomial of the degree 0 so it is a constant polynomial.


(vi) 2 + x


It is a polynomial of the degree 1 so it is a linear polynomial.


(vii) y3 – y


It is a polynomial of the degree 3 so it is a cubic polynomial.


(viii) 1 + x + x2


It is a polynomial of the degree 2 so it is a quadratic polynomial.


(ix) t2


It is a polynomial of the degree 2 so it is a quadratic polynomial.


(x) √2x – 1


It is a polynomial of the degree 1 so it is a linear polynomial.


5
1