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Check whether p(x) is a multiple of g(x)...

Check whether p(x) is a multiple of g(x) or not.
`p(x) = x^(3) -5x^(2) + 4x -3, g(x) = x-2`

Text Solution

Verified by Experts

The correct Answer is:
`rArr p(x)` is not a multiple of g(x).
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Knowledge Check

  • The sum of the polynomials p(x)= x^(3)- x^(2)-2, q(x)= x^(2)-3x+1

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

  • The sum of the polynomials p(x) = x^(3) - x^(2) - 2, q(x) = x^(2) - 3x + 1

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

  • The sum of the polynomials p(x) =x^(3) -x^(2) -2, q(x) =x^(2) -3x+ 1

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

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    Explore conceptually related problems

    By remainder theorem, find the remainder when, p(x) is divided by g(x) where, p(x) = x^(3) - 3x^(2) + 4x + 50, g(x) = x -3

    By remainder theorem, find the remainder when, p(x) is divided by g(x) where, p(x)=4x^(3)-12x^(2) + 14x-3, g(x)= 2x-1

    By remainder theorem, find the remainder when, p(x) is divided by g(x) where, p(x)= x^(3)-3x^(2) + 4x+50, g(x)= x-3

    Check whether (x-2) is a factor of x ^(3) - 2x ^(2) - 5x +4

    By remainder theorem , find the remainder when p(x) is divided by g(x) where , (i) p(x) =x^(3) -2x^2 -4x -1 ,g(x) =x+1 (ii) p(x) =4x^(3) -12x^(2) +14x -3,g(x) =2x-1 (iii) p(x) =x^(3) -3x^(2) +4x +50 ,g(x) =x-3

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