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x^(3)-19x-30...

`x^(3)-19x-30`

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The correct Answer is:
`(x+2)(x+3)(x-5)`
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Factorise : x^(2)-19x-20

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Knowledge Check

  • Let f(x)=x^(3)-9x^(2)+30x+5 be a differentiable function of x , then -

    A
    f(x) is minimum at x =3
    B
    minimum value of f(x) is 8
    C
    minimum value of f(x) is greater than its maximum value
    D
    f(x) possesses neither a maximum nor a minimum .

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    Find the value of k when one of the roots of the equation of the polynomial p(x)=x^(4)-kx^(3)-19x^(2)-46x-8 is 2.

    Let's write the quotient and the reamainder:- (63x^2 - 19x - 20) div (9x^2 + 5)

    Find the interval in which f(x)=x^3-3x^2-9x+30 is strictly increasing or strictly decreasing.

    Determine the nature of the roots of the qaudratic equation 3sqrt2x^(2)+19x+8sqrt2=0 .

    Show that (x +4) ,(x-3) and (x-7) are factors of x ^(3) - 6x ^(2) - 19 x + 84.

    Prove that the polynomial (x^(-19)+y^(-19)) is not divisible by (x - y), but is divisible by (x + y).

    The coefficient of x^(28) in the expansion of (1+x^3-x^6)^(30) is 1 b. 0 c. ^30 C_6 d. ^30 C_3

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