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(i) ${x}^{5}-2{x}^{3}+x+7$ is an expression having only non-negative integral powers of x. So, it is a polynomial. Also, the highest power of x is 5, so it is a polynomial of degree 5.

(ii) ${y}^{3}-\sqrt{3}y$ is an expression having only non-negative integral powers of y. So, it is a polynomial. Also, the highest power of y is 3, so it is a polynomial of degree 3.

(iii) ${t}^{2}-\frac{2}{5}t+\sqrt{2}$ is an expression having only non-negative integral powers of t. So, it is a polynomial. Also, the highest power of t is 2, so it is a polynomial of degree 2.

(iv) $5\sqrt{z}-6$ is…

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