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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` hs 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

  • If the expression 2x^(3)-7x^(2)+5x-3 leaves a remainder of 5 k - 2 when divided by x +1 , then find the value of k .

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