Identify constant, linear, quadratic, cubic and quartic polynomials from the following.
(i) $x - x^{3} + x^{2}$
(ii) $- 6 x^{2}$
(iii) $- p$

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Solution

(i) $x - x^{3} + x^{2}$ is a polynomial with degree 3. So it is a cubic polynomial.
(ii) $- 6 x^{2}$ is a polynomial with degree 2. So it is a quadratic polynomial.
(iii) $- p$ is a polynomial with degree 1. So it is a linear polynomial.

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