Question

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

(i) 4x² - 3x + 7

(ii) y² + √2

(iii) 3√t + t√2

Answer 1

(i)  4x² - 3x + 7

Yes, this expression is a polynomial in one variable x.

(ii)  y² + √2

Yes, this expression is a polynomial in one variable y.

(iii) 3√t + t√2

No. It can be observed that the exponent of variable t in term  3√t is 1/2, which is not a whole number. Therefore, this expression is not a polynomial.