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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

  • If p(x) = 5x^(2)-3x + 7 , then p(1) equals to :

    A
    -10
    B
    9
    C
    -9
    D
    10

  • The coefficient of x^(6) in: [(1+x)^(6)+(1+x)^(7)+ . . .+(1+x)^(15)] is:

    A
    `""^(16)C_(9)`
    B
    `""^(16)C_(5)-""^(6)C_(5)`
    C
    `""^(16)C_(6)-1`
    D
    none of these

  • If (x^(2)-5x+6)/(x^(2)-x+1) is positive, then :

    A
    `x lt 2`
    B
    `2 lt x lt 3`
    C
    `x gt 3`
    D
    `x lt 2 or x gt 3`.

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    Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : i] p(x) = x^(3) - 3x^(2) + 5x - 3, g(x) = x^(2) - 2 ii] p(x) = x^(4) - 3x^(2) + 4x + 5, g(x) = x^(2) + 1 - x iii] p (x) = x^(4) - 5 x + 6 g(x) = 2 - x^(2)

    If the coefficients of 5^(t h) , 6^(th) and 7^(th) terms of (1+x)^(n) are in arithmetic progression, then the value of n is

    In a binomial expansion (1+x)^(n),n is a positive integer, the coefficients of 5th, 6th and 7th terms are in A.P., then the value of n is

    (3x+2)(5x-3) and (4x+7) are the three consecutive terms of an A.P. then the value of x is

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