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What should be multiplied with 2x^(2) +3...

What should be multiplied with `2x^(2) +3x - 4 ` to get `4x^(4) - 9x^(2) + 24 x - 16` ?

Text Solution

Verified by Experts

The correct Answer is:
`2x^(2) + 3x - 4`
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Knowledge Check

  • The curves 4x^(2) + 9y^(2) = 72 and x^(2) - y^(2) = 5 at (3,2)

    A
    touch each other
    B
    cut orthogonally
    C
    intersect at `45^(o)`
    D
    intersect at `60^(o)`

  • The value of k for which the circles x^2 + y^2 - 3x + ky - 5 = 0 and 4x^2 + 4y^2 - 12x - y - 9 = 0 become concentric is:

    A
    `1/8`
    B
    `-1/8`
    C
    `1/4`
    D
    `-1/4`

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    Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : i] p(x) = x^(3) - 3x^(2) + 5x - 3, g(x) = x^(2) - 2 ii] p(x) = x^(4) - 3x^(2) + 4x + 5, g(x) = x^(2) + 1 - x iii] p (x) = x^(4) - 5 x + 6 g(x) = 2 - x^(2)

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