Identify constant, linear, quadratic, cubic and quartic polynomials from the following.
(i) $1 - y - y^{3}$

(ii) $1 + x + x^{2}$

(iii) $- 6 x^{2}$

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Solution

(i) $1 - y - y^{3}$ is a polynomial with degree 3. So it is a cubic polynomial.

(ii) $1 + x + x^{2}$ is a polynomial with degree 2. So it is a quadratic polynomial.

(iii) $- 6 x^{2}$ is a polynomial with degree 2. So it is a quadratic polynomial.

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(ii) $1 + x + x^{2}$

(iii) $- 6 x^{2}$

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