Which of the following expressions are polynomials in one variable and

1.	Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:(i) 3x2 -4x+15(ii) y2 -2√3(iii) 3√x +√2x(iv) x-4/x(v) x12 + y3 + t50
Answer» (i) 3x² -4x+15 is a polynomial of one variable x. (ii) y² -2√3 is a polynomial of one variable y. (iii) 3√x +√2x is not a polynomial as the exponents of 3√x is not a positive integer. (iv) x - 4/x is not a polynomial as the exponent of -4/x is not a positive integer. (v) x¹² + y³ + t⁵⁰is a polynomial of three variables x, y, t.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:(i) 3x2 -4x+15(ii) y2 -2√3(iii) 3√x +√2x(iv) x-4/x(v) x12 + y3 + t50

Answer»

(i) 3x² -4x+15 is a polynomial of one variable x.

(ii) y² -2√3 is a polynomial of one variable y.

(iii) 3√x +√2x is not a polynomial as the exponents of 3√x is not a positive integer.

(iv) x - 4/x is not a polynomial as the exponent of -4/x is not a positive integer.

(v) x¹² + y³ + t⁵⁰is a polynomial of three variables x, y, t.