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The HCF of the polynomials (x - 2) (2x^2...

The HCF of the polynomials `(x - 2) (2x^2 + x + a)` and `(2x - 1)(x^2 - 5x + b)` is `(x - 2)(2x - 1)`. Find the relation between a and b.

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Knowledge Check

  • The HCF of the polynomials (2x - 1) (5x^(2) -ax + 3) and (x -3) (2x^(2) + x +b) " is " (2x -1) (x -3) Then the values of a and b respectively are _____

    A
    `16, -1`
    B
    `-16, 1`
    C
    `-16, -1`
    D
    16, 1
  • If (x ^(2) + x - 2) is the HCF of the expressions (x - 1) (2x ^(2) + ax +2) and (x +2) (3x ^(2) + bx +1), then find the valued of a and b.

    A
    `a = 3, b = 4`
    B
    `a = 5, b =- 4`
    C
    `a =- 3, b = 5`
    D
    `a = 5, b = 6`
  • The HCF of two polynomials 4x^2(x^2 – 3x+2) and 12x(x-2)(x^2 - 4) is 4x(x-2) . The LCM of the two polynomials is :

    A
    `12x(x^2 - 4)`
    B
    `12x^2(x^2 – 3x+4) (x^2 - 2)`
    C
    `12x^2(x^2 – 3x+2) (x^2 - 4)`
    D
    `12x(x^2 – 3x-2)(x^2 - 4) `
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