Question

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 1

(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 + t⁵⁰ is a polynomial of three variables x, y, t.