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

(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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