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.