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Question

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

(i) x52x3+x+3

(ii) y3+3y

(iii) t225t+5


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Solution

(i) x52x3+x+3 is an expression having only non-negative integral powers of x. So, it is a polynomial. Also, the highest power of x is 5, so, it is a polynomial of degree 5.

(ii) y3+3y is an expression having only non-negative integral powers of y. So, it is a polynomial. Also, the highest power of y is 3, so, it is a polynomial of degree 3.

(iii) t225t+5 is an expression having only non-negative integral powers of t. So, it is a polynomial. Also, the highest power of t is 2, so, it is a polynomial of degree 2.


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