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Show that (x-2) is a factor of the polyn...

Show that `(x-2)` is a factor of the polynomial `f(x)=2x^3-3x^2-17 x+30` and hence factorize `f(x)dot`

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Knowledge Check

  • If (x - a) is a factor of the polynomial f (x) then

    A
    f(a)=0
    B
    f(-a)=0
    C
    `f(a)ne0`
    D
    None of these

  • The factors of the polynomial 3 x^(2) - 5 x - 2 are

    A
    (3x-1),(x+2)
    B
    (3x+1),(x+2)
    C
    (3x-1),(x+2)
    D
    (3x+1),(x-2)

  • If (x-2) is a factor of the polynomial x^(3)+2x^(2)-13+k then 'k' is equal to

    A
    `-10`
    B
    26
    C
    `-26`
    D
    10

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