Question

Classify the following as linear, quadratic and cubic polynomials:
(i) 2x² + 4x
(ii) x − x³
(iii) 2 − y − y²
(iv) −7 + z
(v) 5t
(vi) p³

Answer 1

(i) Clearly, $2x^2+4x$ is a polynomial of degree 2. So, it is a quadratic polynomial.

(ii) Clearly, $x-x^3$ is a polynomial of degree 3. So, it is a cubic polynomial.

(iii) Clearly, $2-y-y^2$ is a polynomial of degree 2. So, it is a quadratic polynomial.

(iv) Clearly, $-$7 + z is a polynomial of degree 1. So, it is a linear polynomial.

(v) Clearly, 5t is a polynomial of degree of 1. So, it is a linear polynomial.

(vi) Clearly, p³ is a polynomial of degree 3. So, it is a cubic polynomial.