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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

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Let `f(x)=2x^(3)+3px^(2)-4x+p`
`:.f(x)=(x+2)Q(x)+5`
`impliesf(-2)=5`
`implies2(-2)^(3)+3p(-2)^(2)-4(-2)+p=5`1 or `13p=13`
`:.p=1`
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