Identify linear, quadratic and cubic polynomials from the given polynomials.
(i) $x - x^{3} + x^{2}$
(ii) $5 y^{2}$
(iii) $w$

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Solution

As we know, degree of a polynomial is the highest power of the variable in a polynomial expression.

(i) $x - x^{3} + x^{2}$ is a polynomial with highest degree 3. So it is a cubic polynomial.
(ii) $5 y^{2}$ is a polynomial with highest degree 2. So it is a quadratic polynomial.
(iii) $w$ is a polynomial with highest degree 1. So it is a linear polynomial.

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