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$\sqrt{3}$

(iii) $3\sqrt{x}+\sqrt{2}x$

(iv) $x-\frac{4}{x}$

(v) x¹² + y³ + t⁵⁰

Answer 1

(i) is a polynomial of degree 2.i.e Quadratic polynomial.

(ii) is a polynomial of degree 2 in y variable. i.e. Quadratic polynomial.

(iii)

It is not a polynomial because exponent of x is 1/2 which is not a positive integer.

(iv)

It is not a polynomial because is fractional part.

(v)

It is a polynomial in three variables x, y and t.