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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

Text Solution

Verified by Experts

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

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Knowledge Check

  • Degree of the polynomial p(x)=3x^(4)+6x+7 is

    A
    `4`
    B
    `5`
    C
    `3`
    D
    `1`
  • Find the degree of the polynomial 4x^(5)-2x^(2)y^(3)+6 .

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    4
    C
    5
    D
    6
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