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For the polynomials (x^(3)+2x+1)/(5)-(...

For the polynomials `(x^(3)+2x+1)/(5)-(7)/(2) x^(2)-x^(6)` ,then write
(i) the degree of the polynomial (ii) the coefficient of `x^(3)`
(iii) the coeficient of `x^(6)` (iv) the constant term

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Given , polynomial is , `(x^(3)+2x+1)/(5)-(7)/(2) x^(2)-x^(6)`
`=(1)/(5)x^(3)+(2x)/(5)+(1)/(5)-(7)/(2)x^(2)-x^(6)`
(i) Degree of the polynomial is the highest power of the variable i.e., 6
(ii) the coefficient of `x^(3)` in given polynomial is `(1)/(5)`
(iii) the coefficient of `x^(6)` in given polynomial is -1.
(iv) the constant term in given polynomial is is `(1)/(5)`.
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