Question

Which of the following expressions are polynomials?

(i). $5x^2-7x+\frac{3}{2}$

(ii). $4a^2+\frac{7}{a}+5a$

(iii). $u^2+uv+3v^2$

• A. (i), (ii), (iii)
• B. (i), (iii)
• C. (i), (ii)
• D. only (iii)

Answer 1

The correct option is B

(i), (iii)

An algebraic expression in which the variables involved have only non-negative integer powers is called a polynomial. $5x^2-7x+\frac{3}{2}$ is a polynomial in x of degree 2. $u^2+uv+3v^2$ is a polynomial in two variables u and v whereas $4a^2+\frac{7}{a}+5a$ is not a polynomial since the power of a is negative.