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If (x + 2) is a factor of the polynomial...

If `(x + 2)` is a factor of the polynomial `x^3 – kx^2 - 5x + 6` then the value of k is:

A

`1`

B

`2`

C

`3`

D

`-2`

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Knowledge Check

  • A teacher wrote the following polynomial on the board : 2 x^(3) - 3 x^(2) + 4 x + 7, x^(3) - 19 x - 30, 2x^(2) + 5 x + 2, 3 x + 2, 4x^(2) , 2x^(2) - 5 x + p, 2 x^(2) + 5 x + q Now she asked following questions to the students If 2 x + 1 is a factor of the polynomial 2 x^(2) + 5 x + q then the value of q is

    A
    3
    B
    7
    C
    2
    D
    `-3`

  • 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 - a) is a factor of the polynomial p (x) = x^(3) - ax ^(2) + 2 x + 2 then the value of a is

    A
    1
    B
    `-1`
    C
    2
    D
    `-2`

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