1.

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

Answer» 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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