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Given that the expression 2x^3+3p x^2-4x...

Given that the expression `2x^3+3p x^2-4x+p` has a remainder of 5 when divided by `x+2` , find the value of `pdot`

Text Solution

Verified by Experts

The correct Answer is:
`p = 1`
Let `f(x) = 2x^(3) + 3px^(2) - 4x + p` Given
`f(-2) = 2 (-2)^(3) + 3 (-2)^(2)p - 4 (-2)+ p = 5`
or ` 13 p - 8 = 5 `
or ` p = 1`
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Knowledge Check

  • Let p(x) be a quadratic polynomial with constant term 1. Suppose p(x) when divided by x-1 leaves remainder 2 and when divided by x+1 leaves remainder 4. Then the sum of the roots of p(x)=0 is

    A
    -1
    B
    1
    C
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    4

  • Let p(x) be a quadratic polynomial with constant term 1 . Suppose p(x) when divided by x-1 leaves remiander 2 and when divided by x+1 leaves remainder 4 . Then the sum of the roots of p (x) = 0 is -

    A
    `-1`
    B
    1
    C
    `-(1)/(2)`
    D
    `(1)/(2)`

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