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Question1

If the expression \(x+n\) is a factor of the equation \(x^{3}+3x^{2}-4x-12\), what is NOT a possible value of \(n\)?

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Question2

If \(n\neq -3\) and \(n\neq 0\), which of the following is equivalent to \(\frac {n^{2}-9}{1+\frac {3}{n}}\)?

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Question3

What is the remainder when \(f(x)=36x^{4}-36x^{2}+9\) is divided by \(x+1\)?

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Question4

If \(x\neq -2\), for what value of \(b\) will \(\frac {x^{2}-8x-b}{x+2}\) have no remainder?

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Question5

A rectangular solid has a volume of \(4x^{3}-14x^{2}-14x+24\). If the length of the solid can be defined as \(x-4\) and the width can be defined as \(2x+3\), which of the following is a possible height of the box?