Classify the following as linear, quadratic and cubic polynomials:
(i) $4 x^{3} + 2 x + 6$ (ii) x + 5
(iii) $9 x^{3}$ (iv) $2 x^{2} + 2 x + 7$

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Solution

$4 x^{3} + 2 x + 6$ is a cubic trinomial as its degree is 3 and it has 3 terms.
(ii) x + 5 is a linear binomial as its degree is 1 and it has 2 terms.
(iii) $9 x^{3}$ is a cubic monomial as its degree is 3 and it has only one term.
(iv) $2 x^{2} + 2 x + 7$ is a quadratic trinomial as its degree is 2 and it has 3 terms.

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