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In p(x)=5x^(7)-6x^(5)+7x+6, what is the ...

In `p(x)=5x^(7)-6x^(5)+7x+6`, what is the
(i) coefficient of `x^(5)` (ii) degree of `p(x)` (iii) consstant term.

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Knowledge Check

  • The coefficients of x^7 in the expansion of (x^3+3x+3/x+1/x^3)^5 is

    A
    odd number
    B
    even number
    C
    `,^(15)C_4`
    D
    `,^(10)C_5`

  • if 3x-5y = 5 and x/(x+y) = 5/7 what is the value of x-y ?

    A
    3
    B
    9
    C
    4
    D
    5

  • If in the binomial expansion of (a+x) ^(n) where n is a natural number, the coefficients of 5 th, 6 th and 7 th terms are in A.P., then n is equal to-

    A
    7 or 13
    B
    7 or 15
    C
    7 or 14
    D
    18 or 14

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    Determine whether each pair of the following equations are solvable or not by finding the relations among the ratios of the co-efficients of the same variable and the constant terms of each pair. Also write whether the graphs of the equations of each pair are parallel or intersecting of coinciding or not: (i) 5x+3y=11, 2x-7y=-12, (ii) 6x-8y=2, 3x-4y=1, (iii) 8x-7y=0, 8x-7y=56,

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