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Question
Which of the following expression are polynomial? Justify your answer:
`((x - 2)(x - 4))/x`
Solution
`((x - 2)(x - 4))/x = (x^2 - 4x - 2x + 8)/x`
= `(x^2 - 6x + 8)/x`
= `x - 6 + 8/x`
= x – 6 + 8x–1
Here, the power of x = –1, which is not a whole number, but a negative number.
Hence, `((x - 2)(x - 4))/x` is not a polynomial.
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