Q. 24.1( 31 Votes )

Which of the following expressions are polynomials in one variable and which are not? Give reasons for your answer.

(i) 3x2 - 2x + 5

(ii) x2 + √2

(iii) p2 - 3p + q

(iv)

(v)

(vi) x100 + y100

Answer :

(i) 3x2 - 2x + 5 has only one variable that is x.


yes, it is a polynomial in one variable.


(ii) x2 + √2 has only one variable that is x.


yes, it is a polynomial in one variable.


(iii) p2 – 3p + q has two variables that are p and q.


no, it is not a polynomial in one variable.


(iv) has a negative exponent of y.


no, it is not a polynomial.


(v) The exponent of x in 5√x + x√5 is 1/2 which is not a non-negative integer


no, it is not a polynomial.


(vi) x100 + y100 has two variables that are x and y.


no, it is not a polynomial in one variable.


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