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Question

Which of the following expressions are polynomials? In case of a polynomial, write its degree.

(i) x222x2

(ii) 22x28

(iii) 12x2


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Solution

(i) x222x2 . This is an expression having a negative integral power of x i.e. −2. So, it is not a polynomial.

(ii) 22x28 is an expression having an only non-negative integral power of x. So, it is a polynomial. Also, the highest power of x is 2, so, it is a polynomial of degree 2.

(iii) 12x2 is an expression having a negative integral power of x. So, it is not a polynomial.


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