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.