Question

classify the following as constant, linear, quadratic, cubic and quartic polynomials

$i)x - {x}^{3} \\ ii) {y}^{4} - y \\ iii)y + {y}^{ 2} + 4 \\ iv) \sqrt{2x - 1 } \\ v)5{x}^{3} \\ vi)3 \\ vii) {t}^{2} \\ viii)2 + x \\ ix)5t - \sqrt{7}$


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Answer 1

$x - {x}^{3} = cubic \: polynomial \\ {y}^{4} - y = biquadratic \: polynomial \\ y + {y}^{2} + 4 = quadratic \: polynomial \\ \sqrt{2x - 1} = linear \: polynomial \\ {5x}^{3} = cubic \: polynomial \\ 3 = constant \\ {t}^{2} = quadratic \: polynomial \\ 2 + x = linear \: polynomial \\ 5t - \sqrt{7} = linear \: polynomial$

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